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Finding the Third Proportional to 273,017,659.50 and 386,311,558.50

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Solution

The third proportional to 273,017,659.50 and 386,311,558.50 is: 546,618,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,017,659.50 : 386,311,558.50 = 386,311,558.50 : x
  2. Step 2: Convert to fraction form
    273,017,659.50/386,311,558.50 = 386,311,558.50/x
  3. Step 3: Cross multiply
    273,017,659.50x = 386,311,558.50 × 386,311,558.50
  4. Step 4: Simplify right side
    273,017,659.50x = 149,236,620,230,698,912
  5. Step 5: Solve for x
    x = 149,236,620,230,698,912/273,017,659.50
  6. Step 6: Final answer
    x = 546,618,927.52

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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.