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Finding the Third Proportional to 110,101.50 and 242,961.75

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Solution

The third proportional to 110,101.50 and 242,961.75 is: 536,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.50 : 242,961.75 = 242,961.75 : x
  2. Step 2: Convert to fraction form
    110,101.50/242,961.75 = 242,961.75/x
  3. Step 3: Cross multiply
    110,101.50x = 242,961.75 × 242,961.75
  4. Step 4: Simplify right side
    110,101.50x = 59,030,411,963.06
  5. Step 5: Solve for x
    x = 59,030,411,963.06/110,101.50
  6. Step 6: Final answer
    x = 536,145.39

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.