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Finding the Third Proportional to 99,850 and 217,196

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Solution

The third proportional to 99,850 and 217,196 is: 472,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850 : 217,196 = 217,196 : x
  2. Step 2: Convert to fraction form
    99,850/217,196 = 217,196/x
  3. Step 3: Cross multiply
    99,850x = 217,196 × 217,196
  4. Step 4: Simplify right side
    99,850x = 47,174,102,416
  5. Step 5: Solve for x
    x = 47,174,102,416/99,850
  6. Step 6: Final answer
    x = 472,449.70

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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.