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Finding the Third Proportional to 145,139.25 and 219,895.88

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Solution

The third proportional to 145,139.25 and 219,895.88 is: 333,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,139.25 : 219,895.88 = 219,895.88 : x
  2. Step 2: Convert to fraction form
    145,139.25/219,895.88 = 219,895.88/x
  3. Step 3: Cross multiply
    145,139.25x = 219,895.88 × 219,895.88
  4. Step 4: Simplify right side
    145,139.25x = 48,354,195,842.02
  5. Step 5: Solve for x
    x = 48,354,195,842.02/145,139.25
  6. Step 6: Final answer
    x = 333,157.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.