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Finding the Third Proportional to 98,581,488 and 219,829,932

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Solution

The third proportional to 98,581,488 and 219,829,932 is: 490,205,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,581,488 : 219,829,932 = 219,829,932 : x
  2. Step 2: Convert to fraction form
    98,581,488/219,829,932 = 219,829,932/x
  3. Step 3: Cross multiply
    98,581,488x = 219,829,932 × 219,829,932
  4. Step 4: Simplify right side
    98,581,488x = 48,325,199,003,124,624
  5. Step 5: Solve for x
    x = 48,325,199,003,124,624/98,581,488
  6. Step 6: Final answer
    x = 490,205,615.51

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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.