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Finding the Third Proportional to 40,993 and 96,730

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Solution

The third proportional to 40,993 and 96,730 is: 228,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,993 : 96,730 = 96,730 : x
  2. Step 2: Convert to fraction form
    40,993/96,730 = 96,730/x
  3. Step 3: Cross multiply
    40,993x = 96,730 × 96,730
  4. Step 4: Simplify right side
    40,993x = 9,356,692,900
  5. Step 5: Solve for x
    x = 9,356,692,900/40,993
  6. Step 6: Final answer
    x = 228,250.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.