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Finding the Third Proportional to 179,007,051 and 267,408,136

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Solution

The third proportional to 179,007,051 and 267,408,136 is: 399,465,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,007,051 : 267,408,136 = 267,408,136 : x
  2. Step 2: Convert to fraction form
    179,007,051/267,408,136 = 267,408,136/x
  3. Step 3: Cross multiply
    179,007,051x = 267,408,136 × 267,408,136
  4. Step 4: Simplify right side
    179,007,051x = 71,507,111,198,994,496
  5. Step 5: Solve for x
    x = 71,507,111,198,994,496/179,007,051
  6. Step 6: Final answer
    x = 399,465,332.79

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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.