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Finding the Third Proportional to 96,649,373,337 and 196,054,583,802

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Solution

The third proportional to 96,649,373,337 and 196,054,583,802 is: 397,699,421,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,649,373,337 : 196,054,583,802 = 196,054,583,802 : x
  2. Step 2: Convert to fraction form
    96,649,373,337/196,054,583,802 = 196,054,583,802/x
  3. Step 3: Cross multiply
    96,649,373,337x = 196,054,583,802 × 196,054,583,802
  4. Step 4: Simplify right side
    96,649,373,337x = 38,437,399,829,775,437,004,800
  5. Step 5: Solve for x
    x = 38,437,399,829,775,437,004,800/96,649,373,337
  6. Step 6: Final answer
    x = 397,699,421,141.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.