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Finding the Third Proportional to 99,850 and 216,314

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Solution

The third proportional to 99,850 and 216,314 is: 468,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850 : 216,314 = 216,314 : x
  2. Step 2: Convert to fraction form
    99,850/216,314 = 216,314/x
  3. Step 3: Cross multiply
    99,850x = 216,314 × 216,314
  4. Step 4: Simplify right side
    99,850x = 46,791,746,596
  5. Step 5: Solve for x
    x = 46,791,746,596/99,850
  6. Step 6: Final answer
    x = 468,620.40

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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.