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Finding the Third Proportional to 101,140.88 and 145,690.31

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Solution

The third proportional to 101,140.88 and 145,690.31 is: 209,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,140.88 : 145,690.31 = 145,690.31 : x
  2. Step 2: Convert to fraction form
    101,140.88/145,690.31 = 145,690.31/x
  3. Step 3: Cross multiply
    101,140.88x = 145,690.31 × 145,690.31
  4. Step 4: Simplify right side
    101,140.88x = 21,225,667,156.35
  5. Step 5: Solve for x
    x = 21,225,667,156.35/101,140.88
  6. Step 6: Final answer
    x = 209,862.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.