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Finding the Third Proportional to 99,850.22 and 219,041.72

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Solution

The third proportional to 99,850.22 and 219,041.72 is: 480,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850.22 : 219,041.72 = 219,041.72 : x
  2. Step 2: Convert to fraction form
    99,850.22/219,041.72 = 219,041.72/x
  3. Step 3: Cross multiply
    99,850.22x = 219,041.72 × 219,041.72
  4. Step 4: Simplify right side
    99,850.22x = 47,979,274,552.95
  5. Step 5: Solve for x
    x = 47,979,274,552.95/99,850.22
  6. Step 6: Final answer
    x = 480,512.46

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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.