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Finding the Third Proportional to 42,315.75 and 90,463.50

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Solution

The third proportional to 42,315.75 and 90,463.50 is: 193,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315.75 : 90,463.50 = 90,463.50 : x
  2. Step 2: Convert to fraction form
    42,315.75/90,463.50 = 90,463.50/x
  3. Step 3: Cross multiply
    42,315.75x = 90,463.50 × 90,463.50
  4. Step 4: Simplify right side
    42,315.75x = 8,183,644,832.25
  5. Step 5: Solve for x
    x = 8,183,644,832.25/42,315.75
  6. Step 6: Final answer
    x = 193,394.77

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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.