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Finding the Third Proportional to 42,477.75 and 93,035.25

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Solution

The third proportional to 42,477.75 and 93,035.25 is: 203,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.75 : 93,035.25 = 93,035.25 : x
  2. Step 2: Convert to fraction form
    42,477.75/93,035.25 = 93,035.25/x
  3. Step 3: Cross multiply
    42,477.75x = 93,035.25 × 93,035.25
  4. Step 4: Simplify right side
    42,477.75x = 8,655,557,742.56
  5. Step 5: Solve for x
    x = 8,655,557,742.56/42,477.75
  6. Step 6: Final answer
    x = 203,766.86

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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.