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Finding the Third Proportional to 144,600,342 and 220,288,725

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Solution

The third proportional to 144,600,342 and 220,288,725 is: 335,594,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,600,342 : 220,288,725 = 220,288,725 : x
  2. Step 2: Convert to fraction form
    144,600,342/220,288,725 = 220,288,725/x
  3. Step 3: Cross multiply
    144,600,342x = 220,288,725 × 220,288,725
  4. Step 4: Simplify right side
    144,600,342x = 48,527,122,362,125,624
  5. Step 5: Solve for x
    x = 48,527,122,362,125,624/144,600,342
  6. Step 6: Final answer
    x = 335,594,796.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.