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Finding the Third Proportional to 92,482,767 and 192,616,753.50

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Solution

The third proportional to 92,482,767 and 192,616,753.50 is: 401,168,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,482,767 : 192,616,753.50 = 192,616,753.50 : x
  2. Step 2: Convert to fraction form
    92,482,767/192,616,753.50 = 192,616,753.50/x
  3. Step 3: Cross multiply
    92,482,767x = 192,616,753.50 × 192,616,753.50
  4. Step 4: Simplify right side
    92,482,767x = 37,101,213,728,879,760
  5. Step 5: Solve for x
    x = 37,101,213,728,879,760/92,482,767
  6. Step 6: Final answer
    x = 401,168,941.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.