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Finding the Third Proportional to 99,836.16 and 217,164.94

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Solution

The third proportional to 99,836.16 and 217,164.94 is: 472,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,836.16 : 217,164.94 = 217,164.94 : x
  2. Step 2: Convert to fraction form
    99,836.16/217,164.94 = 217,164.94/x
  3. Step 3: Cross multiply
    99,836.16x = 217,164.94 × 217,164.94
  4. Step 4: Simplify right side
    99,836.16x = 47,160,610,079.38
  5. Step 5: Solve for x
    x = 47,160,610,079.38/99,836.16
  6. Step 6: Final answer
    x = 472,380.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.