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Finding the Third Proportional to 141,194.63 and 215,101.50

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Solution

The third proportional to 141,194.63 and 215,101.50 is: 327,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,194.63 : 215,101.50 = 215,101.50 : x
  2. Step 2: Convert to fraction form
    141,194.63/215,101.50 = 215,101.50/x
  3. Step 3: Cross multiply
    141,194.63x = 215,101.50 × 215,101.50
  4. Step 4: Simplify right side
    141,194.63x = 46,268,655,302.25
  5. Step 5: Solve for x
    x = 46,268,655,302.25/141,194.63
  6. Step 6: Final answer
    x = 327,694.17

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Why These Related Problems?

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