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Finding the Third Proportional to 42,213.66 and 64,190.81

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Solution

The third proportional to 42,213.66 and 64,190.81 is: 97,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,213.66 : 64,190.81 = 64,190.81 : x
  2. Step 2: Convert to fraction form
    42,213.66/64,190.81 = 64,190.81/x
  3. Step 3: Cross multiply
    42,213.66x = 64,190.81 × 64,190.81
  4. Step 4: Simplify right side
    42,213.66x = 4,120,460,409.41
  5. Step 5: Solve for x
    x = 4,120,460,409.41/42,213.66
  6. Step 6: Final answer
    x = 97,609.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.