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Finding the Third Proportional to 48,715,814 and 100,884,762

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Solution

The third proportional to 48,715,814 and 100,884,762 is: 208,920,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,715,814 : 100,884,762 = 100,884,762 : x
  2. Step 2: Convert to fraction form
    48,715,814/100,884,762 = 100,884,762/x
  3. Step 3: Cross multiply
    48,715,814x = 100,884,762 × 100,884,762
  4. Step 4: Simplify right side
    48,715,814x = 10,177,735,203,796,644
  5. Step 5: Solve for x
    x = 10,177,735,203,796,644/48,715,814
  6. Step 6: Final answer
    x = 208,920,561.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.