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Finding the Third Proportional to 98,581,458 and 219,829,884

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Solution

The third proportional to 98,581,458 and 219,829,884 is: 490,205,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,581,458 : 219,829,884 = 219,829,884 : x
  2. Step 2: Convert to fraction form
    98,581,458/219,829,884 = 219,829,884/x
  3. Step 3: Cross multiply
    98,581,458x = 219,829,884 × 219,829,884
  4. Step 4: Simplify right side
    98,581,458x = 48,325,177,899,453,456
  5. Step 5: Solve for x
    x = 48,325,177,899,453,456/98,581,458
  6. Step 6: Final answer
    x = 490,205,550.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.