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Finding the Third Proportional to 48,432 and 102,048

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Solution

The third proportional to 48,432 and 102,048 is: 215,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 102,048 = 102,048 : x
  2. Step 2: Convert to fraction form
    48,432/102,048 = 102,048/x
  3. Step 3: Cross multiply
    48,432x = 102,048 × 102,048
  4. Step 4: Simplify right side
    48,432x = 10,413,794,304
  5. Step 5: Solve for x
    x = 10,413,794,304/48,432
  6. Step 6: Final answer
    x = 215,018.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.