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Finding the Third Proportional to 225,701,247 and 317,837,091.50

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Solution

The third proportional to 225,701,247 and 317,837,091.50 is: 447,584,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,701,247 : 317,837,091.50 = 317,837,091.50 : x
  2. Step 2: Convert to fraction form
    225,701,247/317,837,091.50 = 317,837,091.50/x
  3. Step 3: Cross multiply
    225,701,247x = 317,837,091.50 × 317,837,091.50
  4. Step 4: Simplify right side
    225,701,247x = 101,020,416,733,179,376
  5. Step 5: Solve for x
    x = 101,020,416,733,179,376/225,701,247
  6. Step 6: Final answer
    x = 447,584,663.69

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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.