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Finding the Third Proportional to 92,494.50 and 199,387.50

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Solution

The third proportional to 92,494.50 and 199,387.50 is: 429,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,494.50 : 199,387.50 = 199,387.50 : x
  2. Step 2: Convert to fraction form
    92,494.50/199,387.50 = 199,387.50/x
  3. Step 3: Cross multiply
    92,494.50x = 199,387.50 × 199,387.50
  4. Step 4: Simplify right side
    92,494.50x = 39,755,375,156.25
  5. Step 5: Solve for x
    x = 39,755,375,156.25/92,494.50
  6. Step 6: Final answer
    x = 429,813.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.