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Finding the Third Proportional to 101,170.88 and 148,475.63

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Solution

The third proportional to 101,170.88 and 148,475.63 is: 217,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,170.88 : 148,475.63 = 148,475.63 : x
  2. Step 2: Convert to fraction form
    101,170.88/148,475.63 = 148,475.63/x
  3. Step 3: Cross multiply
    101,170.88x = 148,475.63 × 148,475.63
  4. Step 4: Simplify right side
    101,170.88x = 22,045,011,219.14
  5. Step 5: Solve for x
    x = 22,045,011,219.14/101,170.88
  6. Step 6: Final answer
    x = 217,898.79

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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.