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Finding the Third Proportional to 137,767,263 and 297,450,318

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Solution

The third proportional to 137,767,263 and 297,450,318 is: 642,218,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767,263 : 297,450,318 = 297,450,318 : x
  2. Step 2: Convert to fraction form
    137,767,263/297,450,318 = 297,450,318/x
  3. Step 3: Cross multiply
    137,767,263x = 297,450,318 × 297,450,318
  4. Step 4: Simplify right side
    137,767,263x = 88,476,691,678,301,120
  5. Step 5: Solve for x
    x = 88,476,691,678,301,120/137,767,263
  6. Step 6: Final answer
    x = 642,218,548.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.