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Finding the Third Proportional to 141,138,841 and 305,730,591

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Solution

The third proportional to 141,138,841 and 305,730,591 is: 662,264,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138,841 : 305,730,591 = 305,730,591 : x
  2. Step 2: Convert to fraction form
    141,138,841/305,730,591 = 305,730,591/x
  3. Step 3: Cross multiply
    141,138,841x = 305,730,591 × 305,730,591
  4. Step 4: Simplify right side
    141,138,841x = 93,471,194,273,209,280
  5. Step 5: Solve for x
    x = 93,471,194,273,209,280/141,138,841
  6. Step 6: Final answer
    x = 662,264,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.