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Finding the Third Proportional to 238,912,833,470.62 and 511,903,536,206.62

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Solution

The third proportional to 238,912,833,470.62 and 511,903,536,206.62 is: 1,096,823,584,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,912,833,470.62 : 511,903,536,206.62 = 511,903,536,206.62 : x
  2. Step 2: Convert to fraction form
    238,912,833,470.62/511,903,536,206.62 = 511,903,536,206.62/x
  3. Step 3: Cross multiply
    238,912,833,470.62x = 511,903,536,206.62 × 511,903,536,206.62
  4. Step 4: Simplify right side
    238,912,833,470.62x = 262,045,230,380,842,322,231,296
  5. Step 5: Solve for x
    x = 262,045,230,380,842,322,231,296/238,912,833,470.62
  6. Step 6: Final answer
    x = 1,096,823,584,460.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.