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Finding the Third Proportional to 218,385.56 and 467,132.06

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Solution

The third proportional to 218,385.56 and 467,132.06 is: 999,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,385.56 : 467,132.06 = 467,132.06 : x
  2. Step 2: Convert to fraction form
    218,385.56/467,132.06 = 467,132.06/x
  3. Step 3: Cross multiply
    218,385.56x = 467,132.06 × 467,132.06
  4. Step 4: Simplify right side
    218,385.56x = 218,212,363,815.50
  5. Step 5: Solve for x
    x = 218,212,363,815.50/218,385.56
  6. Step 6: Final answer
    x = 999,206.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.