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Finding the Third Proportional to 77,639,187 and 166,184,670

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Solution

The third proportional to 77,639,187 and 166,184,670 is: 355,713,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639,187 : 166,184,670 = 166,184,670 : x
  2. Step 2: Convert to fraction form
    77,639,187/166,184,670 = 166,184,670/x
  3. Step 3: Cross multiply
    77,639,187x = 166,184,670 × 166,184,670
  4. Step 4: Simplify right side
    77,639,187x = 27,617,344,543,008,900
  5. Step 5: Solve for x
    x = 27,617,344,543,008,900/77,639,187
  6. Step 6: Final answer
    x = 355,713,984.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.