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Finding the Third Proportional to 219,720,511 and 332,408,651

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Solution

The third proportional to 219,720,511 and 332,408,651 is: 502,891,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720,511 : 332,408,651 = 332,408,651 : x
  2. Step 2: Convert to fraction form
    219,720,511/332,408,651 = 332,408,651/x
  3. Step 3: Cross multiply
    219,720,511x = 332,408,651 × 332,408,651
  4. Step 4: Simplify right side
    219,720,511x = 110,495,511,259,639,808
  5. Step 5: Solve for x
    x = 110,495,511,259,639,808/219,720,511
  6. Step 6: Final answer
    x = 502,891,199.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.