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Finding the Third Proportional to 159,435,218 and 260,341,131

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Solution

The third proportional to 159,435,218 and 260,341,131 is: 425,109,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,435,218 : 260,341,131 = 260,341,131 : x
  2. Step 2: Convert to fraction form
    159,435,218/260,341,131 = 260,341,131/x
  3. Step 3: Cross multiply
    159,435,218x = 260,341,131 × 260,341,131
  4. Step 4: Simplify right side
    159,435,218x = 67,777,504,490,359,160
  5. Step 5: Solve for x
    x = 67,777,504,490,359,160/159,435,218
  6. Step 6: Final answer
    x = 425,109,993.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.