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Finding the Third Proportional to 166,388,950 and 259,656,294

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Solution

The third proportional to 166,388,950 and 259,656,294 is: 405,203,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,388,950 : 259,656,294 = 259,656,294 : x
  2. Step 2: Convert to fraction form
    166,388,950/259,656,294 = 259,656,294/x
  3. Step 3: Cross multiply
    166,388,950x = 259,656,294 × 259,656,294
  4. Step 4: Simplify right side
    166,388,950x = 67,421,391,013,814,432
  5. Step 5: Solve for x
    x = 67,421,391,013,814,432/166,388,950
  6. Step 6: Final answer
    x = 405,203,536.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.