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Finding the Third Proportional to 154,071,748 and 313,524,320

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Solution

The third proportional to 154,071,748 and 313,524,320 is: 637,998,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,071,748 : 313,524,320 = 313,524,320 : x
  2. Step 2: Convert to fraction form
    154,071,748/313,524,320 = 313,524,320/x
  3. Step 3: Cross multiply
    154,071,748x = 313,524,320 × 313,524,320
  4. Step 4: Simplify right side
    154,071,748x = 98,297,499,231,462,400
  5. Step 5: Solve for x
    x = 98,297,499,231,462,400/154,071,748
  6. Step 6: Final answer
    x = 637,998,208.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.