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Finding the Third Proportional to 91,349,982 and 200,869,452

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Solution

The third proportional to 91,349,982 and 200,869,452 is: 441,691,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,349,982 : 200,869,452 = 200,869,452 : x
  2. Step 2: Convert to fraction form
    91,349,982/200,869,452 = 200,869,452/x
  3. Step 3: Cross multiply
    91,349,982x = 200,869,452 × 200,869,452
  4. Step 4: Simplify right side
    91,349,982x = 40,348,536,746,780,304
  5. Step 5: Solve for x
    x = 40,348,536,746,780,304/91,349,982
  6. Step 6: Final answer
    x = 441,691,786.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.