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Finding the Third Proportional to 96,952,729 and 207,342,387

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Solution

The third proportional to 96,952,729 and 207,342,387 is: 443,420,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952,729 : 207,342,387 = 207,342,387 : x
  2. Step 2: Convert to fraction form
    96,952,729/207,342,387 = 207,342,387/x
  3. Step 3: Cross multiply
    96,952,729x = 207,342,387 × 207,342,387
  4. Step 4: Simplify right side
    96,952,729x = 42,990,865,446,857,768
  5. Step 5: Solve for x
    x = 42,990,865,446,857,768/96,952,729
  6. Step 6: Final answer
    x = 443,420,890.68

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