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Finding the Third Proportional to 66,084,206 and 143,149,564

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Solution

The third proportional to 66,084,206 and 143,149,564 is: 310,086,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,206 : 143,149,564 = 143,149,564 : x
  2. Step 2: Convert to fraction form
    66,084,206/143,149,564 = 143,149,564/x
  3. Step 3: Cross multiply
    66,084,206x = 143,149,564 × 143,149,564
  4. Step 4: Simplify right side
    66,084,206x = 20,491,797,673,390,096
  5. Step 5: Solve for x
    x = 20,491,797,673,390,096/66,084,206
  6. Step 6: Final answer
    x = 310,086,159.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.