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Finding the Third Proportional to 235,854,642 and 510,342,180

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Solution

The third proportional to 235,854,642 and 510,342,180 is: 1,104,278,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,854,642 : 510,342,180 = 510,342,180 : x
  2. Step 2: Convert to fraction form
    235,854,642/510,342,180 = 510,342,180/x
  3. Step 3: Cross multiply
    235,854,642x = 510,342,180 × 510,342,180
  4. Step 4: Simplify right side
    235,854,642x = 260,449,140,687,152,384
  5. Step 5: Solve for x
    x = 260,449,140,687,152,384/235,854,642
  6. Step 6: Final answer
    x = 1,104,278,204.91

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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.