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Finding the Third Proportional to 42,988.22 and 94,246.03

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Solution

The third proportional to 42,988.22 and 94,246.03 is: 206,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,988.22 : 94,246.03 = 94,246.03 : x
  2. Step 2: Convert to fraction form
    42,988.22/94,246.03 = 94,246.03/x
  3. Step 3: Cross multiply
    42,988.22x = 94,246.03 × 94,246.03
  4. Step 4: Simplify right side
    42,988.22x = 8,882,314,406.38
  5. Step 5: Solve for x
    x = 8,882,314,406.38/42,988.22
  6. Step 6: Final answer
    x = 206,622.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.