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Finding the Third Proportional to 179,700,396 and 262,811,376

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Solution

The third proportional to 179,700,396 and 262,811,376 is: 384,360,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,700,396 : 262,811,376 = 262,811,376 : x
  2. Step 2: Convert to fraction form
    179,700,396/262,811,376 = 262,811,376/x
  3. Step 3: Cross multiply
    179,700,396x = 262,811,376 × 262,811,376
  4. Step 4: Simplify right side
    179,700,396x = 69,069,819,355,013,376
  5. Step 5: Solve for x
    x = 69,069,819,355,013,376/179,700,396
  6. Step 6: Final answer
    x = 384,360,974.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.