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Finding the Third Proportional to 123,435,072 and 168,124,302

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Solution

The third proportional to 123,435,072 and 168,124,302 is: 228,993,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,435,072 : 168,124,302 = 168,124,302 : x
  2. Step 2: Convert to fraction form
    123,435,072/168,124,302 = 168,124,302/x
  3. Step 3: Cross multiply
    123,435,072x = 168,124,302 × 168,124,302
  4. Step 4: Simplify right side
    123,435,072x = 28,265,780,922,987,204
  5. Step 5: Solve for x
    x = 28,265,780,922,987,204/123,435,072
  6. Step 6: Final answer
    x = 228,993,109.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.