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Finding the Third Proportional to 99,310 and 216,092

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Solution

The third proportional to 99,310 and 216,092 is: 470,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,310 : 216,092 = 216,092 : x
  2. Step 2: Convert to fraction form
    99,310/216,092 = 216,092/x
  3. Step 3: Cross multiply
    99,310x = 216,092 × 216,092
  4. Step 4: Simplify right side
    99,310x = 46,695,752,464
  5. Step 5: Solve for x
    x = 46,695,752,464/99,310
  6. Step 6: Final answer
    x = 470,201.92

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