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Finding the Third Proportional to 97,986 and 147,111

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Solution

The third proportional to 97,986 and 147,111 is: 220,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,986 : 147,111 = 147,111 : x
  2. Step 2: Convert to fraction form
    97,986/147,111 = 147,111/x
  3. Step 3: Cross multiply
    97,986x = 147,111 × 147,111
  4. Step 4: Simplify right side
    97,986x = 21,641,646,321
  5. Step 5: Solve for x
    x = 21,641,646,321/97,986
  6. Step 6: Final answer
    x = 220,864.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.