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Finding the Third Proportional to 100,885,520.25 and 217,243,775.25

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Solution

The third proportional to 100,885,520.25 and 217,243,775.25 is: 467,806,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885,520.25 : 217,243,775.25 = 217,243,775.25 : x
  2. Step 2: Convert to fraction form
    100,885,520.25/217,243,775.25 = 217,243,775.25/x
  3. Step 3: Cross multiply
    100,885,520.25x = 217,243,775.25 × 217,243,775.25
  4. Step 4: Simplify right side
    100,885,520.25x = 47,194,857,884,872,512
  5. Step 5: Solve for x
    x = 47,194,857,884,872,512/100,885,520.25
  6. Step 6: Final answer
    x = 467,806,061.44

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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.