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Finding the Third Proportional to 48,539,233.50 and 103,987,198.50

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Solution

The third proportional to 48,539,233.50 and 103,987,198.50 is: 222,775,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,539,233.50 : 103,987,198.50 = 103,987,198.50 : x
  2. Step 2: Convert to fraction form
    48,539,233.50/103,987,198.50 = 103,987,198.50/x
  3. Step 3: Cross multiply
    48,539,233.50x = 103,987,198.50 × 103,987,198.50
  4. Step 4: Simplify right side
    48,539,233.50x = 10,813,337,451,878,402
  5. Step 5: Solve for x
    x = 10,813,337,451,878,402/48,539,233.50
  6. Step 6: Final answer
    x = 222,775,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.