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Finding the Third Proportional to 141,905,442 and 305,960,820

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Solution

The third proportional to 141,905,442 and 305,960,820 is: 659,678,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,442 : 305,960,820 = 305,960,820 : x
  2. Step 2: Convert to fraction form
    141,905,442/305,960,820 = 305,960,820/x
  3. Step 3: Cross multiply
    141,905,442x = 305,960,820 × 305,960,820
  4. Step 4: Simplify right side
    141,905,442x = 93,612,023,375,072,400
  5. Step 5: Solve for x
    x = 93,612,023,375,072,400/141,905,442
  6. Step 6: Final answer
    x = 659,678,882.33

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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.