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Finding the Third Proportional to 66,194.25 and 144,036.50

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Solution

The third proportional to 66,194.25 and 144,036.50 is: 313,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,194.25 : 144,036.50 = 144,036.50 : x
  2. Step 2: Convert to fraction form
    66,194.25/144,036.50 = 144,036.50/x
  3. Step 3: Cross multiply
    66,194.25x = 144,036.50 × 144,036.50
  4. Step 4: Simplify right side
    66,194.25x = 20,746,513,332.25
  5. Step 5: Solve for x
    x = 20,746,513,332.25/66,194.25
  6. Step 6: Final answer
    x = 313,418.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.