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Finding the Third Proportional to 108,429.47 and 234,959.91

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Solution

The third proportional to 108,429.47 and 234,959.91 is: 509,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,429.47 : 234,959.91 = 234,959.91 : x
  2. Step 2: Convert to fraction form
    108,429.47/234,959.91 = 234,959.91/x
  3. Step 3: Cross multiply
    108,429.47x = 234,959.91 × 234,959.91
  4. Step 4: Simplify right side
    108,429.47x = 55,206,157,545.01
  5. Step 5: Solve for x
    x = 55,206,157,545.01/108,429.47
  6. Step 6: Final answer
    x = 509,143.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.