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Finding the Third Proportional to 83,015,100 and 192,184,037

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Solution

The third proportional to 83,015,100 and 192,184,037 is: 444,915,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,015,100 : 192,184,037 = 192,184,037 : x
  2. Step 2: Convert to fraction form
    83,015,100/192,184,037 = 192,184,037/x
  3. Step 3: Cross multiply
    83,015,100x = 192,184,037 × 192,184,037
  4. Step 4: Simplify right side
    83,015,100x = 36,934,704,077,617,368
  5. Step 5: Solve for x
    x = 36,934,704,077,617,368/83,015,100
  6. Step 6: Final answer
    x = 444,915,492.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.