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Finding the Third Proportional to 99,387 and 212,169.38

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Solution

The third proportional to 99,387 and 212,169.38 is: 452,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,387 : 212,169.38 = 212,169.38 : x
  2. Step 2: Convert to fraction form
    99,387/212,169.38 = 212,169.38/x
  3. Step 3: Cross multiply
    99,387x = 212,169.38 × 212,169.38
  4. Step 4: Simplify right side
    99,387x = 45,015,843,687.89
  5. Step 5: Solve for x
    x = 45,015,843,687.89/99,387
  6. Step 6: Final answer
    x = 452,934.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.