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Finding the Third Proportional to 107,601,867 and 171,299,367

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Solution

The third proportional to 107,601,867 and 171,299,367 is: 272,704,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,601,867 : 171,299,367 = 171,299,367 : x
  2. Step 2: Convert to fraction form
    107,601,867/171,299,367 = 171,299,367/x
  3. Step 3: Cross multiply
    107,601,867x = 171,299,367 × 171,299,367
  4. Step 4: Simplify right side
    107,601,867x = 29,343,473,134,600,688
  5. Step 5: Solve for x
    x = 29,343,473,134,600,688/107,601,867
  6. Step 6: Final answer
    x = 272,704,126.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.