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Finding the Third Proportional to 47,737.69 and 99,397.13

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Solution

The third proportional to 47,737.69 and 99,397.13 is: 206,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.69 : 99,397.13 = 99,397.13 : x
  2. Step 2: Convert to fraction form
    47,737.69/99,397.13 = 99,397.13/x
  3. Step 3: Cross multiply
    47,737.69x = 99,397.13 × 99,397.13
  4. Step 4: Simplify right side
    47,737.69x = 9,879,788,458.27
  5. Step 5: Solve for x
    x = 9,879,788,458.27/47,737.69
  6. Step 6: Final answer
    x = 206,959.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.