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Finding the Third Proportional to 99,645.19 and 110,101.78

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Solution

The third proportional to 99,645.19 and 110,101.78 is: 121,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645.19 : 110,101.78 = 110,101.78 : x
  2. Step 2: Convert to fraction form
    99,645.19/110,101.78 = 110,101.78/x
  3. Step 3: Cross multiply
    99,645.19x = 110,101.78 × 110,101.78
  4. Step 4: Simplify right side
    99,645.19x = 12,122,402,234.42
  5. Step 5: Solve for x
    x = 12,122,402,234.42/99,645.19
  6. Step 6: Final answer
    x = 121,655.67

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.