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Finding the Third Proportional to 94,691.53 and 202,516.45

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Solution

The third proportional to 94,691.53 and 202,516.45 is: 433,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,691.53 : 202,516.45 = 202,516.45 : x
  2. Step 2: Convert to fraction form
    94,691.53/202,516.45 = 202,516.45/x
  3. Step 3: Cross multiply
    94,691.53x = 202,516.45 × 202,516.45
  4. Step 4: Simplify right side
    94,691.53x = 41,012,913,786.33
  5. Step 5: Solve for x
    x = 41,012,913,786.33/94,691.53
  6. Step 6: Final answer
    x = 433,121.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.