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Finding the Third Proportional to 73,109,217 and 160,568,160

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Solution

The third proportional to 73,109,217 and 160,568,160 is: 352,652,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109,217 : 160,568,160 = 160,568,160 : x
  2. Step 2: Convert to fraction form
    73,109,217/160,568,160 = 160,568,160/x
  3. Step 3: Cross multiply
    73,109,217x = 160,568,160 × 160,568,160
  4. Step 4: Simplify right side
    73,109,217x = 25,782,134,005,785,600
  5. Step 5: Solve for x
    x = 25,782,134,005,785,600/73,109,217
  6. Step 6: Final answer
    x = 352,652,306.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.