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Finding the Third Proportional to 206,954,044.88 and 450,649,689.75

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Solution

The third proportional to 206,954,044.88 and 450,649,689.75 is: 981,305,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954,044.88 : 450,649,689.75 = 450,649,689.75 : x
  2. Step 2: Convert to fraction form
    206,954,044.88/450,649,689.75 = 450,649,689.75/x
  3. Step 3: Cross multiply
    206,954,044.88x = 450,649,689.75 × 450,649,689.75
  4. Step 4: Simplify right side
    206,954,044.88x = 203,085,142,871,771,264
  5. Step 5: Solve for x
    x = 203,085,142,871,771,264/206,954,044.88
  6. Step 6: Final answer
    x = 981,305,501.88

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Why These Related Problems?

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