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Finding the Third Proportional to 96,862.50 and 205,274.25

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Solution

The third proportional to 96,862.50 and 205,274.25 is: 435,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,862.50 : 205,274.25 = 205,274.25 : x
  2. Step 2: Convert to fraction form
    96,862.50/205,274.25 = 205,274.25/x
  3. Step 3: Cross multiply
    96,862.50x = 205,274.25 × 205,274.25
  4. Step 4: Simplify right side
    96,862.50x = 42,137,517,713.06
  5. Step 5: Solve for x
    x = 42,137,517,713.06/96,862.50
  6. Step 6: Final answer
    x = 435,024.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.