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Finding the Third Proportional to 75,679,068 and 166,008,120

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Solution

The third proportional to 75,679,068 and 166,008,120 is: 364,152,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679,068 : 166,008,120 = 166,008,120 : x
  2. Step 2: Convert to fraction form
    75,679,068/166,008,120 = 166,008,120/x
  3. Step 3: Cross multiply
    75,679,068x = 166,008,120 × 166,008,120
  4. Step 4: Simplify right side
    75,679,068x = 27,558,695,905,934,400
  5. Step 5: Solve for x
    x = 27,558,695,905,934,400/75,679,068
  6. Step 6: Final answer
    x = 364,152,157.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.