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Finding the Third Proportional to 99,632 and 215,862

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Solution

The third proportional to 99,632 and 215,862 is: 467,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 215,862 = 215,862 : x
  2. Step 2: Convert to fraction form
    99,632/215,862 = 215,862/x
  3. Step 3: Cross multiply
    99,632x = 215,862 × 215,862
  4. Step 4: Simplify right side
    99,632x = 46,596,403,044
  5. Step 5: Solve for x
    x = 46,596,403,044/99,632
  6. Step 6: Final answer
    x = 467,685.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.