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Finding the Third Proportional to 42,150.94 and 90,280.69

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Solution

The third proportional to 42,150.94 and 90,280.69 is: 193,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150.94 : 90,280.69 = 90,280.69 : x
  2. Step 2: Convert to fraction form
    42,150.94/90,280.69 = 90,280.69/x
  3. Step 3: Cross multiply
    42,150.94x = 90,280.69 × 90,280.69
  4. Step 4: Simplify right side
    42,150.94x = 8,150,602,535.47
  5. Step 5: Solve for x
    x = 8,150,602,535.47/42,150.94
  6. Step 6: Final answer
    x = 193,367.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.