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Finding the Third Proportional to 179,007,057 and 267,408,145.13

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Solution

The third proportional to 179,007,057 and 267,408,145.13 is: 399,465,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,007,057 : 267,408,145.13 = 267,408,145.13 : x
  2. Step 2: Convert to fraction form
    179,007,057/267,408,145.13 = 267,408,145.13/x
  3. Step 3: Cross multiply
    179,007,057x = 267,408,145.13 × 267,408,145.13
  4. Step 4: Simplify right side
    179,007,057x = 71,507,116,079,193,064
  5. Step 5: Solve for x
    x = 71,507,116,079,193,064/179,007,057
  6. Step 6: Final answer
    x = 399,465,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.