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Finding the Third Proportional to 179,007,012.75 and 267,408,142.50

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Solution

The third proportional to 179,007,012.75 and 267,408,142.50 is: 399,465,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,007,012.75 : 267,408,142.50 = 267,408,142.50 : x
  2. Step 2: Convert to fraction form
    179,007,012.75/267,408,142.50 = 267,408,142.50/x
  3. Step 3: Cross multiply
    179,007,012.75x = 267,408,142.50 × 267,408,142.50
  4. Step 4: Simplify right side
    179,007,012.75x = 71,507,114,675,300,304
  5. Step 5: Solve for x
    x = 71,507,114,675,300,304/179,007,012.75
  6. Step 6: Final answer
    x = 399,465,437.56

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