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Finding the Third Proportional to 75,678,354 and 166,006,692

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Solution

The third proportional to 75,678,354 and 166,006,692 is: 364,149,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678,354 : 166,006,692 = 166,006,692 : x
  2. Step 2: Convert to fraction form
    75,678,354/166,006,692 = 166,006,692/x
  3. Step 3: Cross multiply
    75,678,354x = 166,006,692 × 166,006,692
  4. Step 4: Simplify right side
    75,678,354x = 27,558,221,788,782,864
  5. Step 5: Solve for x
    x = 27,558,221,788,782,864/75,678,354
  6. Step 6: Final answer
    x = 364,149,328.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.