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Finding the Third Proportional to 153,296,125 and 336,270,691

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Solution

The third proportional to 153,296,125 and 336,270,691 is: 737,644,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,296,125 : 336,270,691 = 336,270,691 : x
  2. Step 2: Convert to fraction form
    153,296,125/336,270,691 = 336,270,691/x
  3. Step 3: Cross multiply
    153,296,125x = 336,270,691 × 336,270,691
  4. Step 4: Simplify right side
    153,296,125x = 113,077,977,625,617,488
  5. Step 5: Solve for x
    x = 113,077,977,625,617,488/153,296,125
  6. Step 6: Final answer
    x = 737,644,070.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.