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Finding the Third Proportional to 43,148.06 and 94,140.56

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Solution

The third proportional to 43,148.06 and 94,140.56 is: 205,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148.06 : 94,140.56 = 94,140.56 : x
  2. Step 2: Convert to fraction form
    43,148.06/94,140.56 = 94,140.56/x
  3. Step 3: Cross multiply
    43,148.06x = 94,140.56 × 94,140.56
  4. Step 4: Simplify right side
    43,148.06x = 8,862,445,507.82
  5. Step 5: Solve for x
    x = 8,862,445,507.82/43,148.06
  6. Step 6: Final answer
    x = 205,396.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.