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Finding the Third Proportional to 48,882,708 and 106,172,978

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Solution

The third proportional to 48,882,708 and 106,172,978 is: 230,607,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882,708 : 106,172,978 = 106,172,978 : x
  2. Step 2: Convert to fraction form
    48,882,708/106,172,978 = 106,172,978/x
  3. Step 3: Cross multiply
    48,882,708x = 106,172,978 × 106,172,978
  4. Step 4: Simplify right side
    48,882,708x = 11,272,701,257,388,484
  5. Step 5: Solve for x
    x = 11,272,701,257,388,484/48,882,708
  6. Step 6: Final answer
    x = 230,607,135.30

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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.