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Finding the Third Proportional to 94,966.50 and 202,642.50

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Solution

The third proportional to 94,966.50 and 202,642.50 is: 432,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,966.50 : 202,642.50 = 202,642.50 : x
  2. Step 2: Convert to fraction form
    94,966.50/202,642.50 = 202,642.50/x
  3. Step 3: Cross multiply
    94,966.50x = 202,642.50 × 202,642.50
  4. Step 4: Simplify right side
    94,966.50x = 41,063,982,806.25
  5. Step 5: Solve for x
    x = 41,063,982,806.25/94,966.50
  6. Step 6: Final answer
    x = 432,404.93

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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.