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Finding the Third Proportional to 123,251.63 and 190,319.63

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Solution

The third proportional to 123,251.63 and 190,319.63 is: 293,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,251.63 : 190,319.63 = 190,319.63 : x
  2. Step 2: Convert to fraction form
    123,251.63/190,319.63 = 190,319.63/x
  3. Step 3: Cross multiply
    123,251.63x = 190,319.63 × 190,319.63
  4. Step 4: Simplify right side
    123,251.63x = 36,221,559,660.14
  5. Step 5: Solve for x
    x = 36,221,559,660.14/123,251.63
  6. Step 6: Final answer
    x = 293,883.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.