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Finding the Third Proportional to 102,939.38 and 153,802.97

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Solution

The third proportional to 102,939.38 and 153,802.97 is: 229,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939.38 : 153,802.97 = 153,802.97 : x
  2. Step 2: Convert to fraction form
    102,939.38/153,802.97 = 153,802.97/x
  3. Step 3: Cross multiply
    102,939.38x = 153,802.97 × 153,802.97
  4. Step 4: Simplify right side
    102,939.38x = 23,655,353,196.31
  5. Step 5: Solve for x
    x = 23,655,353,196.31/102,939.38
  6. Step 6: Final answer
    x = 229,798.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.