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Finding the Third Proportional to 128,917.13 and 196,714.13

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Solution

The third proportional to 128,917.13 and 196,714.13 is: 300,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,917.13 : 196,714.13 = 196,714.13 : x
  2. Step 2: Convert to fraction form
    128,917.13/196,714.13 = 196,714.13/x
  3. Step 3: Cross multiply
    128,917.13x = 196,714.13 × 196,714.13
  4. Step 4: Simplify right side
    128,917.13x = 38,696,446,974.52
  5. Step 5: Solve for x
    x = 38,696,446,974.52/128,917.13
  6. Step 6: Final answer
    x = 300,165.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.