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Finding the Third Proportional to 47,278.13 and 102,432.38

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Solution

The third proportional to 47,278.13 and 102,432.38 is: 221,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,278.13 : 102,432.38 = 102,432.38 : x
  2. Step 2: Convert to fraction form
    47,278.13/102,432.38 = 102,432.38/x
  3. Step 3: Cross multiply
    47,278.13x = 102,432.38 × 102,432.38
  4. Step 4: Simplify right side
    47,278.13x = 10,492,391,448.14
  5. Step 5: Solve for x
    x = 10,492,391,448.14/47,278.13
  6. Step 6: Final answer
    x = 221,929.09

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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.