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Finding the Third Proportional to 61,709,085 and 128,525,793.75

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Solution

The third proportional to 61,709,085 and 128,525,793.75 is: 267,689,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709,085 : 128,525,793.75 = 128,525,793.75 : x
  2. Step 2: Convert to fraction form
    61,709,085/128,525,793.75 = 128,525,793.75/x
  3. Step 3: Cross multiply
    61,709,085x = 128,525,793.75 × 128,525,793.75
  4. Step 4: Simplify right side
    61,709,085x = 16,518,879,659,067,540
  5. Step 5: Solve for x
    x = 16,518,879,659,067,540/61,709,085
  6. Step 6: Final answer
    x = 267,689,589.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.