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Finding the Third Proportional to 41,730.75 and 97,738.88

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Solution

The third proportional to 41,730.75 and 97,738.88 is: 228,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,730.75 : 97,738.88 = 97,738.88 : x
  2. Step 2: Convert to fraction form
    41,730.75/97,738.88 = 97,738.88/x
  3. Step 3: Cross multiply
    41,730.75x = 97,738.88 × 97,738.88
  4. Step 4: Simplify right side
    41,730.75x = 9,552,887,686.27
  5. Step 5: Solve for x
    x = 9,552,887,686.27/41,730.75
  6. Step 6: Final answer
    x = 228,917.23

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.