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Finding the Third Proportional to 88,865.50 and 194,951.50

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Solution

The third proportional to 88,865.50 and 194,951.50 is: 427,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,865.50 : 194,951.50 = 194,951.50 : x
  2. Step 2: Convert to fraction form
    88,865.50/194,951.50 = 194,951.50/x
  3. Step 3: Cross multiply
    88,865.50x = 194,951.50 × 194,951.50
  4. Step 4: Simplify right side
    88,865.50x = 38,006,087,352.25
  5. Step 5: Solve for x
    x = 38,006,087,352.25/88,865.50
  6. Step 6: Final answer
    x = 427,681.02

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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.