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Finding the Third Proportional to 92,302,564 and 196,961,624

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Solution

The third proportional to 92,302,564 and 196,961,624 is: 420,290,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,302,564 : 196,961,624 = 196,961,624 : x
  2. Step 2: Convert to fraction form
    92,302,564/196,961,624 = 196,961,624/x
  3. Step 3: Cross multiply
    92,302,564x = 196,961,624 × 196,961,624
  4. Step 4: Simplify right side
    92,302,564x = 38,793,881,328,717,376
  5. Step 5: Solve for x
    x = 38,793,881,328,717,376/92,302,564
  6. Step 6: Final answer
    x = 420,290,397.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.