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Finding the Third Proportional to 273,017,653.50 and 386,311,610.25

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Solution

The third proportional to 273,017,653.50 and 386,311,610.25 is: 546,619,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,017,653.50 : 386,311,610.25 = 386,311,610.25 : x
  2. Step 2: Convert to fraction form
    273,017,653.50/386,311,610.25 = 386,311,610.25/x
  3. Step 3: Cross multiply
    273,017,653.50x = 386,311,610.25 × 386,311,610.25
  4. Step 4: Simplify right side
    273,017,653.50x = 149,236,660,213,947,904
  5. Step 5: Solve for x
    x = 149,236,660,213,947,904/273,017,653.50
  6. Step 6: Final answer
    x = 546,619,085.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.