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Finding the Third Proportional to 73,137,168 and 152,327,709

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Solution

The third proportional to 73,137,168 and 152,327,709 is: 317,263,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137,168 : 152,327,709 = 152,327,709 : x
  2. Step 2: Convert to fraction form
    73,137,168/152,327,709 = 152,327,709/x
  3. Step 3: Cross multiply
    73,137,168x = 152,327,709 × 152,327,709
  4. Step 4: Simplify right side
    73,137,168x = 23,203,730,929,188,680
  5. Step 5: Solve for x
    x = 23,203,730,929,188,680/73,137,168
  6. Step 6: Final answer
    x = 317,263,185.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.