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Finding the Third Proportional to 43,145,109 and 92,347,815

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Solution

The third proportional to 43,145,109 and 92,347,815 is: 197,661,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,145,109 : 92,347,815 = 92,347,815 : x
  2. Step 2: Convert to fraction form
    43,145,109/92,347,815 = 92,347,815/x
  3. Step 3: Cross multiply
    43,145,109x = 92,347,815 × 92,347,815
  4. Step 4: Simplify right side
    43,145,109x = 8,528,118,935,274,225
  5. Step 5: Solve for x
    x = 8,528,118,935,274,225/43,145,109
  6. Step 6: Final answer
    x = 197,661,313.95

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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.