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Finding the Third Proportional to 99,688 and 217,952

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Solution

The third proportional to 99,688 and 217,952 is: 476,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,688 : 217,952 = 217,952 : x
  2. Step 2: Convert to fraction form
    99,688/217,952 = 217,952/x
  3. Step 3: Cross multiply
    99,688x = 217,952 × 217,952
  4. Step 4: Simplify right side
    99,688x = 47,503,074,304
  5. Step 5: Solve for x
    x = 47,503,074,304/99,688
  6. Step 6: Final answer
    x = 476,517.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.