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Finding the Third Proportional to 99,703 and 218,785.50

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Solution

The third proportional to 99,703 and 218,785.50 is: 480,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,703 : 218,785.50 = 218,785.50 : x
  2. Step 2: Convert to fraction form
    99,703/218,785.50 = 218,785.50/x
  3. Step 3: Cross multiply
    99,703x = 218,785.50 × 218,785.50
  4. Step 4: Simplify right side
    99,703x = 47,867,095,010.25
  5. Step 5: Solve for x
    x = 47,867,095,010.25/99,703
  6. Step 6: Final answer
    x = 480,096.84

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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.