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Finding the Third Proportional to 101,196.56 and 148,514.06

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Solution

The third proportional to 101,196.56 and 148,514.06 is: 217,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,196.56 : 148,514.06 = 148,514.06 : x
  2. Step 2: Convert to fraction form
    101,196.56/148,514.06 = 148,514.06/x
  3. Step 3: Cross multiply
    101,196.56x = 148,514.06 × 148,514.06
  4. Step 4: Simplify right side
    101,196.56x = 22,056,426,760.25
  5. Step 5: Solve for x
    x = 22,056,426,760.25/101,196.56
  6. Step 6: Final answer
    x = 217,956.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.