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Finding the Third Proportional to 92,154,286 and 197,984,492

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Solution

The third proportional to 92,154,286 and 197,984,492 is: 425,350,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,154,286 : 197,984,492 = 197,984,492 : x
  2. Step 2: Convert to fraction form
    92,154,286/197,984,492 = 197,984,492/x
  3. Step 3: Cross multiply
    92,154,286x = 197,984,492 × 197,984,492
  4. Step 4: Simplify right side
    92,154,286x = 39,197,859,072,498,064
  5. Step 5: Solve for x
    x = 39,197,859,072,498,064/92,154,286
  6. Step 6: Final answer
    x = 425,350,363.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.