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Finding the Third Proportional to 100,854 and 217,267.88

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Solution

The third proportional to 100,854 and 217,267.88 is: 468,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,854 : 217,267.88 = 217,267.88 : x
  2. Step 2: Convert to fraction form
    100,854/217,267.88 = 217,267.88/x
  3. Step 3: Cross multiply
    100,854x = 217,267.88 × 217,267.88
  4. Step 4: Simplify right side
    100,854x = 47,205,329,507.02
  5. Step 5: Solve for x
    x = 47,205,329,507.02/100,854
  6. Step 6: Final answer
    x = 468,056.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.