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Finding the Third Proportional to 121,796,318 and 284,201,225

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Solution

The third proportional to 121,796,318 and 284,201,225 is: 663,159,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,796,318 : 284,201,225 = 284,201,225 : x
  2. Step 2: Convert to fraction form
    121,796,318/284,201,225 = 284,201,225/x
  3. Step 3: Cross multiply
    121,796,318x = 284,201,225 × 284,201,225
  4. Step 4: Simplify right side
    121,796,318x = 80,770,336,291,500,624
  5. Step 5: Solve for x
    x = 80,770,336,291,500,624/121,796,318
  6. Step 6: Final answer
    x = 663,159,097.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.