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Finding the Third Proportional to 219,720,509 and 332,408,648

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Solution

The third proportional to 219,720,509 and 332,408,648 is: 502,891,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720,509 : 332,408,648 = 332,408,648 : x
  2. Step 2: Convert to fraction form
    219,720,509/332,408,648 = 332,408,648/x
  3. Step 3: Cross multiply
    219,720,509x = 332,408,648 × 332,408,648
  4. Step 4: Simplify right side
    219,720,509x = 110,495,509,265,187,904
  5. Step 5: Solve for x
    x = 110,495,509,265,187,904/219,720,509
  6. Step 6: Final answer
    x = 502,891,194.67

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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.