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Finding the Third Proportional to 43,039,311 and 92,218,737

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Solution

The third proportional to 43,039,311 and 92,218,737 is: 197,593,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,039,311 : 92,218,737 = 92,218,737 : x
  2. Step 2: Convert to fraction form
    43,039,311/92,218,737 = 92,218,737/x
  3. Step 3: Cross multiply
    43,039,311x = 92,218,737 × 92,218,737
  4. Step 4: Simplify right side
    43,039,311x = 8,504,295,453,875,169
  5. Step 5: Solve for x
    x = 8,504,295,453,875,169/43,039,311
  6. Step 6: Final answer
    x = 197,593,670.91

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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.