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Finding the Third Proportional to 100,947,334 and 219,609,368

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Solution

The third proportional to 100,947,334 and 219,609,368 is: 477,756,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947,334 : 219,609,368 = 219,609,368 : x
  2. Step 2: Convert to fraction form
    100,947,334/219,609,368 = 219,609,368/x
  3. Step 3: Cross multiply
    100,947,334x = 219,609,368 × 219,609,368
  4. Step 4: Simplify right side
    100,947,334x = 48,228,274,513,359,424
  5. Step 5: Solve for x
    x = 48,228,274,513,359,424/100,947,334
  6. Step 6: Final answer
    x = 477,756,792.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.