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Finding the Third Proportional to 99,226.13 and 149,062.50

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Solution

The third proportional to 99,226.13 and 149,062.50 is: 223,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,226.13 : 149,062.50 = 149,062.50 : x
  2. Step 2: Convert to fraction form
    99,226.13/149,062.50 = 149,062.50/x
  3. Step 3: Cross multiply
    99,226.13x = 149,062.50 × 149,062.50
  4. Step 4: Simplify right side
    99,226.13x = 22,219,628,906.25
  5. Step 5: Solve for x
    x = 22,219,628,906.25/99,226.13
  6. Step 6: Final answer
    x = 223,929.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.