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Finding the Third Proportional to 92,513.25 and 199,301.63

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Solution

The third proportional to 92,513.25 and 199,301.63 is: 429,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,513.25 : 199,301.63 = 199,301.63 : x
  2. Step 2: Convert to fraction form
    92,513.25/199,301.63 = 199,301.63/x
  3. Step 3: Cross multiply
    92,513.25x = 199,301.63 × 199,301.63
  4. Step 4: Simplify right side
    92,513.25x = 39,721,137,727.64
  5. Step 5: Solve for x
    x = 39,721,137,727.64/92,513.25
  6. Step 6: Final answer
    x = 429,356.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.