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Finding the Third Proportional to 94,662 and 207,143.25

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Solution

The third proportional to 94,662 and 207,143.25 is: 453,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,662 : 207,143.25 = 207,143.25 : x
  2. Step 2: Convert to fraction form
    94,662/207,143.25 = 207,143.25/x
  3. Step 3: Cross multiply
    94,662x = 207,143.25 × 207,143.25
  4. Step 4: Simplify right side
    94,662x = 42,908,326,020.56
  5. Step 5: Solve for x
    x = 42,908,326,020.56/94,662
  6. Step 6: Final answer
    x = 453,279.31

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