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Finding the Third Proportional to 75,108,806.72 and 160,138,458

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Solution

The third proportional to 75,108,806.72 and 160,138,458 is: 341,429,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108,806.72 : 160,138,458 = 160,138,458 : x
  2. Step 2: Convert to fraction form
    75,108,806.72/160,138,458 = 160,138,458/x
  3. Step 3: Cross multiply
    75,108,806.72x = 160,138,458 × 160,138,458
  4. Step 4: Simplify right side
    75,108,806.72x = 25,644,325,730,617,764
  5. Step 5: Solve for x
    x = 25,644,325,730,617,764/75,108,806.72
  6. Step 6: Final answer
    x = 341,429,012.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.