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Finding the Third Proportional to 155,953,920 and 337,941,888

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Solution

The third proportional to 155,953,920 and 337,941,888 is: 732,297,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,953,920 : 337,941,888 = 337,941,888 : x
  2. Step 2: Convert to fraction form
    155,953,920/337,941,888 = 337,941,888/x
  3. Step 3: Cross multiply
    155,953,920x = 337,941,888 × 337,941,888
  4. Step 4: Simplify right side
    155,953,920x = 114,204,719,665,004,544
  5. Step 5: Solve for x
    x = 114,204,719,665,004,544/155,953,920
  6. Step 6: Final answer
    x = 732,297,845.83

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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.