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Finding the Third Proportional to 92,359,404 and 200,794,464

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Solution

The third proportional to 92,359,404 and 200,794,464 is: 436,538,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,359,404 : 200,794,464 = 200,794,464 : x
  2. Step 2: Convert to fraction form
    92,359,404/200,794,464 = 200,794,464/x
  3. Step 3: Cross multiply
    92,359,404x = 200,794,464 × 200,794,464
  4. Step 4: Simplify right side
    92,359,404x = 40,318,416,773,047,296
  5. Step 5: Solve for x
    x = 40,318,416,773,047,296/92,359,404
  6. Step 6: Final answer
    x = 436,538,295.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.