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Finding the Third Proportional to 99,882 and 214,587

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Solution

The third proportional to 99,882 and 214,587 is: 461,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,882 : 214,587 = 214,587 : x
  2. Step 2: Convert to fraction form
    99,882/214,587 = 214,587/x
  3. Step 3: Cross multiply
    99,882x = 214,587 × 214,587
  4. Step 4: Simplify right side
    99,882x = 46,047,580,569
  5. Step 5: Solve for x
    x = 46,047,580,569/99,882
  6. Step 6: Final answer
    x = 461,019.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.