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Finding the Third Proportional to 105,627,024 and 226,872,549

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Solution

The third proportional to 105,627,024 and 226,872,549 is: 487,291,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627,024 : 226,872,549 = 226,872,549 : x
  2. Step 2: Convert to fraction form
    105,627,024/226,872,549 = 226,872,549/x
  3. Step 3: Cross multiply
    105,627,024x = 226,872,549 × 226,872,549
  4. Step 4: Simplify right side
    105,627,024x = 51,471,153,489,757,400
  5. Step 5: Solve for x
    x = 51,471,153,489,757,400/105,627,024
  6. Step 6: Final answer
    x = 487,291,523.90

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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.