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Finding the Third Proportional to 51,853,165 and 111,745,255

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Solution

The third proportional to 51,853,165 and 111,745,255 is: 240,814,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853,165 : 111,745,255 = 111,745,255 : x
  2. Step 2: Convert to fraction form
    51,853,165/111,745,255 = 111,745,255/x
  3. Step 3: Cross multiply
    51,853,165x = 111,745,255 × 111,745,255
  4. Step 4: Simplify right side
    51,853,165x = 12,487,002,015,015,024
  5. Step 5: Solve for x
    x = 12,487,002,015,015,024/51,853,165
  6. Step 6: Final answer
    x = 240,814,654.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.