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Finding the Third Proportional to 211,639,203 and 431,781,340.50

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Solution

The third proportional to 211,639,203 and 431,781,340.50 is: 880,910,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,639,203 : 431,781,340.50 = 431,781,340.50 : x
  2. Step 2: Convert to fraction form
    211,639,203/431,781,340.50 = 431,781,340.50/x
  3. Step 3: Cross multiply
    211,639,203x = 431,781,340.50 × 431,781,340.50
  4. Step 4: Simplify right side
    211,639,203x = 186,435,126,003,976,928
  5. Step 5: Solve for x
    x = 186,435,126,003,976,928/211,639,203
  6. Step 6: Final answer
    x = 880,910,168.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.