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Finding the Third Proportional to 141,899.63 and 219,734.44

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Solution

The third proportional to 141,899.63 and 219,734.44 is: 340,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,899.63 : 219,734.44 = 219,734.44 : x
  2. Step 2: Convert to fraction form
    141,899.63/219,734.44 = 219,734.44/x
  3. Step 3: Cross multiply
    141,899.63x = 219,734.44 × 219,734.44
  4. Step 4: Simplify right side
    141,899.63x = 48,283,223,023.44
  5. Step 5: Solve for x
    x = 48,283,223,023.44/141,899.63
  6. Step 6: Final answer
    x = 340,263.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.