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Finding the Third Proportional to 238,914,337,392.50 and 511,906,508,784.75

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Solution

The third proportional to 238,914,337,392.50 and 511,906,508,784.75 is: 1,096,829,418,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,914,337,392.50 : 511,906,508,784.75 = 511,906,508,784.75 : x
  2. Step 2: Convert to fraction form
    238,914,337,392.50/511,906,508,784.75 = 511,906,508,784.75/x
  3. Step 3: Cross multiply
    238,914,337,392.50x = 511,906,508,784.75 × 511,906,508,784.75
  4. Step 4: Simplify right side
    238,914,337,392.50x = 262,048,273,736,191,315,017,728
  5. Step 5: Solve for x
    x = 262,048,273,736,191,315,017,728/238,914,337,392.50
  6. Step 6: Final answer
    x = 1,096,829,418,427.43

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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.