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Finding the Third Proportional to 43,034.63 and 93,215.81

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Solution

The third proportional to 43,034.63 and 93,215.81 is: 201,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,034.63 : 93,215.81 = 93,215.81 : x
  2. Step 2: Convert to fraction form
    43,034.63/93,215.81 = 93,215.81/x
  3. Step 3: Cross multiply
    43,034.63x = 93,215.81 × 93,215.81
  4. Step 4: Simplify right side
    43,034.63x = 8,689,187,700.04
  5. Step 5: Solve for x
    x = 8,689,187,700.04/43,034.63
  6. Step 6: Final answer
    x = 201,911.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.