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Finding the Third Proportional to 92,359,464 and 200,794,576

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Solution

The third proportional to 92,359,464 and 200,794,576 is: 436,538,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,359,464 : 200,794,576 = 200,794,576 : x
  2. Step 2: Convert to fraction form
    92,359,464/200,794,576 = 200,794,576/x
  3. Step 3: Cross multiply
    92,359,464x = 200,794,576 × 200,794,576
  4. Step 4: Simplify right side
    92,359,464x = 40,318,461,751,019,776
  5. Step 5: Solve for x
    x = 40,318,461,751,019,776/92,359,464
  6. Step 6: Final answer
    x = 436,538,498.65

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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.