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Finding the Third Proportional to 76,751,585 and 166,950,826

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Solution

The third proportional to 76,751,585 and 166,950,826 is: 363,153,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751,585 : 166,950,826 = 166,950,826 : x
  2. Step 2: Convert to fraction form
    76,751,585/166,950,826 = 166,950,826/x
  3. Step 3: Cross multiply
    76,751,585x = 166,950,826 × 166,950,826
  4. Step 4: Simplify right side
    76,751,585x = 27,872,578,302,082,276
  5. Step 5: Solve for x
    x = 27,872,578,302,082,276/76,751,585
  6. Step 6: Final answer
    x = 363,153,129.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.