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Finding the Third Proportional to 110,926.13 and 242,843.63

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Solution

The third proportional to 110,926.13 and 242,843.63 is: 531,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926.13 : 242,843.63 = 242,843.63 : x
  2. Step 2: Convert to fraction form
    110,926.13/242,843.63 = 242,843.63/x
  3. Step 3: Cross multiply
    110,926.13x = 242,843.63 × 242,843.63
  4. Step 4: Simplify right side
    110,926.13x = 58,973,026,203.14
  5. Step 5: Solve for x
    x = 58,973,026,203.14/110,926.13
  6. Step 6: Final answer
    x = 531,642.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.