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Finding the Third Proportional to 99,924 and 216,448

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Solution

The third proportional to 99,924 and 216,448 is: 468,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924 : 216,448 = 216,448 : x
  2. Step 2: Convert to fraction form
    99,924/216,448 = 216,448/x
  3. Step 3: Cross multiply
    99,924x = 216,448 × 216,448
  4. Step 4: Simplify right side
    99,924x = 46,849,736,704
  5. Step 5: Solve for x
    x = 46,849,736,704/99,924
  6. Step 6: Final answer
    x = 468,853.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.