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Finding the Third Proportional to 94,989 and 202,691

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Solution

The third proportional to 94,989 and 202,691 is: 432,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,989 : 202,691 = 202,691 : x
  2. Step 2: Convert to fraction form
    94,989/202,691 = 202,691/x
  3. Step 3: Cross multiply
    94,989x = 202,691 × 202,691
  4. Step 4: Simplify right side
    94,989x = 41,083,641,481
  5. Step 5: Solve for x
    x = 41,083,641,481/94,989
  6. Step 6: Final answer
    x = 432,509.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.