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Finding the Third Proportional to 146,086.88 and 219,130.31

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Solution

The third proportional to 146,086.88 and 219,130.31 is: 328,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,086.88 : 219,130.31 = 219,130.31 : x
  2. Step 2: Convert to fraction form
    146,086.88/219,130.31 = 219,130.31/x
  3. Step 3: Cross multiply
    146,086.88x = 219,130.31 × 219,130.31
  4. Step 4: Simplify right side
    146,086.88x = 48,018,093,856.35
  5. Step 5: Solve for x
    x = 48,018,093,856.35/146,086.88
  6. Step 6: Final answer
    x = 328,695.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.