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Finding the Third Proportional to 92,605.78 and 202,570.88

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Solution

The third proportional to 92,605.78 and 202,570.88 is: 443,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,605.78 : 202,570.88 = 202,570.88 : x
  2. Step 2: Convert to fraction form
    92,605.78/202,570.88 = 202,570.88/x
  3. Step 3: Cross multiply
    92,605.78x = 202,570.88 × 202,570.88
  4. Step 4: Simplify right side
    92,605.78x = 41,034,959,398.27
  5. Step 5: Solve for x
    x = 41,034,959,398.27/92,605.78
  6. Step 6: Final answer
    x = 443,114.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.