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Finding the Third Proportional to 43,916 and 97,657

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Solution

The third proportional to 43,916 and 97,657 is: 217,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,916 : 97,657 = 97,657 : x
  2. Step 2: Convert to fraction form
    43,916/97,657 = 97,657/x
  3. Step 3: Cross multiply
    43,916x = 97,657 × 97,657
  4. Step 4: Simplify right side
    43,916x = 9,536,889,649
  5. Step 5: Solve for x
    x = 9,536,889,649/43,916
  6. Step 6: Final answer
    x = 217,162.07

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Why These Related Problems?

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