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Finding the Third Proportional to 203,621,548.50 and 431,675,835.75

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Solution

The third proportional to 203,621,548.50 and 431,675,835.75 is: 915,148,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,621,548.50 : 431,675,835.75 = 431,675,835.75 : x
  2. Step 2: Convert to fraction form
    203,621,548.50/431,675,835.75 = 431,675,835.75/x
  3. Step 3: Cross multiply
    203,621,548.50x = 431,675,835.75 × 431,675,835.75
  4. Step 4: Simplify right side
    203,621,548.50x = 186,344,027,170,460,992
  5. Step 5: Solve for x
    x = 186,344,027,170,460,992/203,621,548.50
  6. Step 6: Final answer
    x = 915,148,856.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.