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Finding the Third Proportional to 43,096.50 and 64,385.25

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Solution

The third proportional to 43,096.50 and 64,385.25 is: 96,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,096.50 : 64,385.25 = 64,385.25 : x
  2. Step 2: Convert to fraction form
    43,096.50/64,385.25 = 64,385.25/x
  3. Step 3: Cross multiply
    43,096.50x = 64,385.25 × 64,385.25
  4. Step 4: Simplify right side
    43,096.50x = 4,145,460,417.56
  5. Step 5: Solve for x
    x = 4,145,460,417.56/43,096.50
  6. Step 6: Final answer
    x = 96,190.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.