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Finding the Third Proportional to 96,196,880 and 206,014,368

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Solution

The third proportional to 96,196,880 and 206,014,368 is: 441,198,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,196,880 : 206,014,368 = 206,014,368 : x
  2. Step 2: Convert to fraction form
    96,196,880/206,014,368 = 206,014,368/x
  3. Step 3: Cross multiply
    96,196,880x = 206,014,368 × 206,014,368
  4. Step 4: Simplify right side
    96,196,880x = 42,441,919,822,439,424
  5. Step 5: Solve for x
    x = 42,441,919,822,439,424/96,196,880
  6. Step 6: Final answer
    x = 441,198,506.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.