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Finding the Third Proportional to 141,905,425 and 305,960,786

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Solution

The third proportional to 141,905,425 and 305,960,786 is: 659,678,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,425 : 305,960,786 = 305,960,786 : x
  2. Step 2: Convert to fraction form
    141,905,425/305,960,786 = 305,960,786/x
  3. Step 3: Cross multiply
    141,905,425x = 305,960,786 × 305,960,786
  4. Step 4: Simplify right side
    141,905,425x = 93,612,002,569,737,792
  5. Step 5: Solve for x
    x = 93,612,002,569,737,792/141,905,425
  6. Step 6: Final answer
    x = 659,678,814.74

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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.