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Finding the Third Proportional to 94,210.78 and 207,100.97

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Solution

The third proportional to 94,210.78 and 207,100.97 is: 455,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,210.78 : 207,100.97 = 207,100.97 : x
  2. Step 2: Convert to fraction form
    94,210.78/207,100.97 = 207,100.97/x
  3. Step 3: Cross multiply
    94,210.78x = 207,100.97 × 207,100.97
  4. Step 4: Simplify right side
    94,210.78x = 42,890,811,257.19
  5. Step 5: Solve for x
    x = 42,890,811,257.19/94,210.78
  6. Step 6: Final answer
    x = 455,264.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.