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Finding the Third Proportional to 75,109,542.75 and 160,140,138

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Solution

The third proportional to 75,109,542.75 and 160,140,138 is: 341,432,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109,542.75 : 160,140,138 = 160,140,138 : x
  2. Step 2: Convert to fraction form
    75,109,542.75/160,140,138 = 160,140,138/x
  3. Step 3: Cross multiply
    75,109,542.75x = 160,140,138 × 160,140,138
  4. Step 4: Simplify right side
    75,109,542.75x = 25,644,863,798,659,044
  5. Step 5: Solve for x
    x = 25,644,863,798,659,044/75,109,542.75
  6. Step 6: Final answer
    x = 341,432,830.77

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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.