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Finding the Third Proportional to 43,648.88 and 93,021.75

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Solution

The third proportional to 43,648.88 and 93,021.75 is: 198,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.88 : 93,021.75 = 93,021.75 : x
  2. Step 2: Convert to fraction form
    43,648.88/93,021.75 = 93,021.75/x
  3. Step 3: Cross multiply
    43,648.88x = 93,021.75 × 93,021.75
  4. Step 4: Simplify right side
    43,648.88x = 8,653,045,973.06
  5. Step 5: Solve for x
    x = 8,653,045,973.06/43,648.88
  6. Step 6: Final answer
    x = 198,242.13

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.