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Finding the Third Proportional to 114,007,491 and 244,157,961

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Solution

The third proportional to 114,007,491 and 244,157,961 is: 522,887,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,007,491 : 244,157,961 = 244,157,961 : x
  2. Step 2: Convert to fraction form
    114,007,491/244,157,961 = 244,157,961/x
  3. Step 3: Cross multiply
    114,007,491x = 244,157,961 × 244,157,961
  4. Step 4: Simplify right side
    114,007,491x = 59,613,109,919,677,520
  5. Step 5: Solve for x
    x = 59,613,109,919,677,520/114,007,491
  6. Step 6: Final answer
    x = 522,887,657.62

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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.