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Finding the Third Proportional to 99,235.13 and 149,775.33

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Solution

The third proportional to 99,235.13 and 149,775.33 is: 226,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 149,775.33 = 149,775.33 : x
  2. Step 2: Convert to fraction form
    99,235.13/149,775.33 = 149,775.33/x
  3. Step 3: Cross multiply
    99,235.13x = 149,775.33 × 149,775.33
  4. Step 4: Simplify right side
    99,235.13x = 22,432,648,914.95
  5. Step 5: Solve for x
    x = 22,432,648,914.95/99,235.13
  6. Step 6: Final answer
    x = 226,055.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.