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Finding the Third Proportional to 75,786,688 and 166,689,920

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Solution

The third proportional to 75,786,688 and 166,689,920 is: 366,628,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786,688 : 166,689,920 = 166,689,920 : x
  2. Step 2: Convert to fraction form
    75,786,688/166,689,920 = 166,689,920/x
  3. Step 3: Cross multiply
    75,786,688x = 166,689,920 × 166,689,920
  4. Step 4: Simplify right side
    75,786,688x = 27,785,529,429,606,400
  5. Step 5: Solve for x
    x = 27,785,529,429,606,400/75,786,688
  6. Step 6: Final answer
    x = 366,628,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.