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Finding the Third Proportional to 206,650,852.78 and 446,175,365.34

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Solution

The third proportional to 206,650,852.78 and 446,175,365.34 is: 963,327,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,650,852.78 : 446,175,365.34 = 446,175,365.34 : x
  2. Step 2: Convert to fraction form
    206,650,852.78/446,175,365.34 = 446,175,365.34/x
  3. Step 3: Cross multiply
    206,650,852.78x = 446,175,365.34 × 446,175,365.34
  4. Step 4: Simplify right side
    206,650,852.78x = 199,072,456,639,628,800
  5. Step 5: Solve for x
    x = 199,072,456,639,628,800/206,650,852.78
  6. Step 6: Final answer
    x = 963,327,535.12

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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.