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Finding the Third Proportional to 211,324,849.50 and 460,166,104.50

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Solution

The third proportional to 211,324,849.50 and 460,166,104.50 is: 1,002,025,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324,849.50 : 460,166,104.50 = 460,166,104.50 : x
  2. Step 2: Convert to fraction form
    211,324,849.50/460,166,104.50 = 460,166,104.50/x
  3. Step 3: Cross multiply
    211,324,849.50x = 460,166,104.50 × 460,166,104.50
  4. Step 4: Simplify right side
    211,324,849.50x = 211,752,843,730,704,928
  5. Step 5: Solve for x
    x = 211,752,843,730,704,928/211,324,849.50
  6. Step 6: Final answer
    x = 1,002,025,290.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.