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Finding the Third Proportional to 100,029 and 218,646

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Solution

The third proportional to 100,029 and 218,646 is: 477,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029 : 218,646 = 218,646 : x
  2. Step 2: Convert to fraction form
    100,029/218,646 = 218,646/x
  3. Step 3: Cross multiply
    100,029x = 218,646 × 218,646
  4. Step 4: Simplify right side
    100,029x = 47,806,073,316
  5. Step 5: Solve for x
    x = 47,806,073,316/100,029
  6. Step 6: Final answer
    x = 477,922.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.