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Finding the Third Proportional to 102,618.14 and 153,517.15

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Solution

The third proportional to 102,618.14 and 153,517.15 is: 229,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618.14 : 153,517.15 = 153,517.15 : x
  2. Step 2: Convert to fraction form
    102,618.14/153,517.15 = 153,517.15/x
  3. Step 3: Cross multiply
    102,618.14x = 153,517.15 × 153,517.15
  4. Step 4: Simplify right side
    102,618.14x = 23,567,514,864.38
  5. Step 5: Solve for x
    x = 23,567,514,864.38/102,618.14
  6. Step 6: Final answer
    x = 229,662.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.