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Finding the Third Proportional to 109,537,939 and 170,152,751

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Solution

The third proportional to 109,537,939 and 170,152,751 is: 264,309,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,537,939 : 170,152,751 = 170,152,751 : x
  2. Step 2: Convert to fraction form
    109,537,939/170,152,751 = 170,152,751/x
  3. Step 3: Cross multiply
    109,537,939x = 170,152,751 × 170,152,751
  4. Step 4: Simplify right side
    109,537,939x = 28,951,958,672,868,000
  5. Step 5: Solve for x
    x = 28,951,958,672,868,000/109,537,939
  6. Step 6: Final answer
    x = 264,309,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.