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Finding the Third Proportional to 96,952,727.25 and 207,342,382.50

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Solution

The third proportional to 96,952,727.25 and 207,342,382.50 is: 443,420,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952,727.25 : 207,342,382.50 = 207,342,382.50 : x
  2. Step 2: Convert to fraction form
    96,952,727.25/207,342,382.50 = 207,342,382.50/x
  3. Step 3: Cross multiply
    96,952,727.25x = 207,342,382.50 × 207,342,382.50
  4. Step 4: Simplify right side
    96,952,727.25x = 42,990,863,580,776,304
  5. Step 5: Solve for x
    x = 42,990,863,580,776,304/96,952,727.25
  6. Step 6: Final answer
    x = 443,420,879.43

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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.