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Finding the Third Proportional to 110,190,466 and 240,221,424

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Solution

The third proportional to 110,190,466 and 240,221,424 is: 523,696,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190,466 : 240,221,424 = 240,221,424 : x
  2. Step 2: Convert to fraction form
    110,190,466/240,221,424 = 240,221,424/x
  3. Step 3: Cross multiply
    110,190,466x = 240,221,424 × 240,221,424
  4. Step 4: Simplify right side
    110,190,466x = 57,706,332,548,587,776
  5. Step 5: Solve for x
    x = 57,706,332,548,587,776/110,190,466
  6. Step 6: Final answer
    x = 523,696,238.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.