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Finding the Third Proportional to 206,183,641,016.25 and 443,878,560,655.32

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Solution

The third proportional to 206,183,641,016.25 and 443,878,560,655.32 is: 955,595,582,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183,641,016.25 : 443,878,560,655.32 = 443,878,560,655.32 : x
  2. Step 2: Convert to fraction form
    206,183,641,016.25/443,878,560,655.32 = 443,878,560,655.32/x
  3. Step 3: Cross multiply
    206,183,641,016.25x = 443,878,560,655.32 × 443,878,560,655.32
  4. Step 4: Simplify right side
    206,183,641,016.25x = 197,028,176,609,438,603,411,456
  5. Step 5: Solve for x
    x = 197,028,176,609,438,603,411,456/206,183,641,016.25
  6. Step 6: Final answer
    x = 955,595,582,842.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.