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Finding the Third Proportional to 167,171,904 and 253,281,816

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Solution

The third proportional to 167,171,904 and 253,281,816 is: 383,746,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,171,904 : 253,281,816 = 253,281,816 : x
  2. Step 2: Convert to fraction form
    167,171,904/253,281,816 = 253,281,816/x
  3. Step 3: Cross multiply
    167,171,904x = 253,281,816 × 253,281,816
  4. Step 4: Simplify right side
    167,171,904x = 64,151,678,316,257,856
  5. Step 5: Solve for x
    x = 64,151,678,316,257,856/167,171,904
  6. Step 6: Final answer
    x = 383,746,770.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.