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Finding the Third Proportional to 91,349,988 and 200,869,464

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Solution

The third proportional to 91,349,988 and 200,869,464 is: 441,691,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,349,988 : 200,869,464 = 200,869,464 : x
  2. Step 2: Convert to fraction form
    91,349,988/200,869,464 = 200,869,464/x
  3. Step 3: Cross multiply
    91,349,988x = 200,869,464 × 200,869,464
  4. Step 4: Simplify right side
    91,349,988x = 40,348,541,567,647,296
  5. Step 5: Solve for x
    x = 40,348,541,567,647,296/91,349,988
  6. Step 6: Final answer
    x = 441,691,810.27

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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.