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Finding the Third Proportional to 99,044 and 216,152

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Solution

The third proportional to 99,044 and 216,152 is: 471,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,044 : 216,152 = 216,152 : x
  2. Step 2: Convert to fraction form
    99,044/216,152 = 216,152/x
  3. Step 3: Cross multiply
    99,044x = 216,152 × 216,152
  4. Step 4: Simplify right side
    99,044x = 46,721,687,104
  5. Step 5: Solve for x
    x = 46,721,687,104/99,044
  6. Step 6: Final answer
    x = 471,726.58

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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.