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Finding the Third Proportional to 137,987,671.50 and 280,030,041

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Solution

The third proportional to 137,987,671.50 and 280,030,041 is: 568,288,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,987,671.50 : 280,030,041 = 280,030,041 : x
  2. Step 2: Convert to fraction form
    137,987,671.50/280,030,041 = 280,030,041/x
  3. Step 3: Cross multiply
    137,987,671.50x = 280,030,041 × 280,030,041
  4. Step 4: Simplify right side
    137,987,671.50x = 78,416,823,862,461,680
  5. Step 5: Solve for x
    x = 78,416,823,862,461,680/137,987,671.50
  6. Step 6: Final answer
    x = 568,288,623.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.