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Finding the Third Proportional to 99,834 and 216,279

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Solution

The third proportional to 99,834 and 216,279 is: 468,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,834 : 216,279 = 216,279 : x
  2. Step 2: Convert to fraction form
    99,834/216,279 = 216,279/x
  3. Step 3: Cross multiply
    99,834x = 216,279 × 216,279
  4. Step 4: Simplify right side
    99,834x = 46,776,605,841
  5. Step 5: Solve for x
    x = 46,776,605,841/99,834
  6. Step 6: Final answer
    x = 468,543.84

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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.