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Finding the Third Proportional to 219,720,516 and 332,408,658

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Solution

The third proportional to 219,720,516 and 332,408,658 is: 502,891,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720,516 : 332,408,658 = 332,408,658 : x
  2. Step 2: Convert to fraction form
    219,720,516/332,408,658 = 332,408,658/x
  3. Step 3: Cross multiply
    219,720,516x = 332,408,658 × 332,408,658
  4. Step 4: Simplify right side
    219,720,516x = 110,495,515,913,360,960
  5. Step 5: Solve for x
    x = 110,495,515,913,360,960/219,720,516
  6. Step 6: Final answer
    x = 502,891,208.91

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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.