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Finding the Third Proportional to 151,367,466 and 230,112,180

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Solution

The third proportional to 151,367,466 and 230,112,180 is: 349,821,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,367,466 : 230,112,180 = 230,112,180 : x
  2. Step 2: Convert to fraction form
    151,367,466/230,112,180 = 230,112,180/x
  3. Step 3: Cross multiply
    151,367,466x = 230,112,180 × 230,112,180
  4. Step 4: Simplify right side
    151,367,466x = 52,951,615,384,352,400
  5. Step 5: Solve for x
    x = 52,951,615,384,352,400/151,367,466
  6. Step 6: Final answer
    x = 349,821,641.23

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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.