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Finding the Third Proportional to 90,405,536 and 196,222,846

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Solution

The third proportional to 90,405,536 and 196,222,846 is: 425,896,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,536 : 196,222,846 = 196,222,846 : x
  2. Step 2: Convert to fraction form
    90,405,536/196,222,846 = 196,222,846/x
  3. Step 3: Cross multiply
    90,405,536x = 196,222,846 × 196,222,846
  4. Step 4: Simplify right side
    90,405,536x = 38,503,405,292,339,712
  5. Step 5: Solve for x
    x = 38,503,405,292,339,712/90,405,536
  6. Step 6: Final answer
    x = 425,896,543.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.