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Finding the Third Proportional to 42,135.19 and 90,466.88

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Solution

The third proportional to 42,135.19 and 90,466.88 is: 194,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135.19 : 90,466.88 = 90,466.88 : x
  2. Step 2: Convert to fraction form
    42,135.19/90,466.88 = 90,466.88/x
  3. Step 3: Cross multiply
    42,135.19x = 90,466.88 × 90,466.88
  4. Step 4: Simplify right side
    42,135.19x = 8,184,255,472.27
  5. Step 5: Solve for x
    x = 8,184,255,472.27/42,135.19
  6. Step 6: Final answer
    x = 194,238.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.