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Finding the Third Proportional to 75,679,453 and 166,009,322

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Solution

The third proportional to 75,679,453 and 166,009,322 is: 364,155,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679,453 : 166,009,322 = 166,009,322 : x
  2. Step 2: Convert to fraction form
    75,679,453/166,009,322 = 166,009,322/x
  3. Step 3: Cross multiply
    75,679,453x = 166,009,322 × 166,009,322
  4. Step 4: Simplify right side
    75,679,453x = 27,559,094,990,899,684
  5. Step 5: Solve for x
    x = 27,559,094,990,899,684/75,679,453
  6. Step 6: Final answer
    x = 364,155,578.54

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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.