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Finding the Third Proportional to 206,650,854.75 and 446,175,369.75

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Solution

The third proportional to 206,650,854.75 and 446,175,369.75 is: 963,327,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,650,854.75 : 446,175,369.75 = 446,175,369.75 : x
  2. Step 2: Convert to fraction form
    206,650,854.75/446,175,369.75 = 446,175,369.75/x
  3. Step 3: Cross multiply
    206,650,854.75x = 446,175,369.75 × 446,175,369.75
  4. Step 4: Simplify right side
    206,650,854.75x = 199,072,460,571,549,216
  5. Step 5: Solve for x
    x = 199,072,460,571,549,216/206,650,854.75
  6. Step 6: Final answer
    x = 963,327,544.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.