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Finding the Third Proportional to 43,988 and 97,790

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Solution

The third proportional to 43,988 and 97,790 is: 217,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,988 : 97,790 = 97,790 : x
  2. Step 2: Convert to fraction form
    43,988/97,790 = 97,790/x
  3. Step 3: Cross multiply
    43,988x = 97,790 × 97,790
  4. Step 4: Simplify right side
    43,988x = 9,562,884,100
  5. Step 5: Solve for x
    x = 9,562,884,100/43,988
  6. Step 6: Final answer
    x = 217,397.57

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.