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Finding the Third Proportional to 232,854,240.75 and 472,550,784.75

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Solution

The third proportional to 232,854,240.75 and 472,550,784.75 is: 958,987,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,854,240.75 : 472,550,784.75 = 472,550,784.75 : x
  2. Step 2: Convert to fraction form
    232,854,240.75/472,550,784.75 = 472,550,784.75/x
  3. Step 3: Cross multiply
    232,854,240.75x = 472,550,784.75 × 472,550,784.75
  4. Step 4: Simplify right side
    232,854,240.75x = 223,304,244,167,840,832
  5. Step 5: Solve for x
    x = 223,304,244,167,840,832/232,854,240.75
  6. Step 6: Final answer
    x = 958,987,233.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.