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Finding the Third Proportional to 139,864 and 216,964.50

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Solution

The third proportional to 139,864 and 216,964.50 is: 336,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,864 : 216,964.50 = 216,964.50 : x
  2. Step 2: Convert to fraction form
    139,864/216,964.50 = 216,964.50/x
  3. Step 3: Cross multiply
    139,864x = 216,964.50 × 216,964.50
  4. Step 4: Simplify right side
    139,864x = 47,073,594,260.25
  5. Step 5: Solve for x
    x = 47,073,594,260.25/139,864
  6. Step 6: Final answer
    x = 336,566.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.