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Finding the Third Proportional to 99,860.50 and 217,352

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Solution

The third proportional to 99,860.50 and 217,352 is: 473,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,860.50 : 217,352 = 217,352 : x
  2. Step 2: Convert to fraction form
    99,860.50/217,352 = 217,352/x
  3. Step 3: Cross multiply
    99,860.50x = 217,352 × 217,352
  4. Step 4: Simplify right side
    99,860.50x = 47,241,891,904
  5. Step 5: Solve for x
    x = 47,241,891,904/99,860.50
  6. Step 6: Final answer
    x = 473,078.86

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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.