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Finding the Third Proportional to 92,641,248 and 198,004,512

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Solution

The third proportional to 92,641,248 and 198,004,512 is: 423,200,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,641,248 : 198,004,512 = 198,004,512 : x
  2. Step 2: Convert to fraction form
    92,641,248/198,004,512 = 198,004,512/x
  3. Step 3: Cross multiply
    92,641,248x = 198,004,512 × 198,004,512
  4. Step 4: Simplify right side
    92,641,248x = 39,205,786,772,358,144
  5. Step 5: Solve for x
    x = 39,205,786,772,358,144/92,641,248
  6. Step 6: Final answer
    x = 423,200,114.62

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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.