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Finding the Third Proportional to 43,148,106 and 92,699,586

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Solution

The third proportional to 43,148,106 and 92,699,586 is: 199,156,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148,106 : 92,699,586 = 92,699,586 : x
  2. Step 2: Convert to fraction form
    43,148,106/92,699,586 = 92,699,586/x
  3. Step 3: Cross multiply
    43,148,106x = 92,699,586 × 92,699,586
  4. Step 4: Simplify right side
    43,148,106x = 8,593,213,244,571,396
  5. Step 5: Solve for x
    x = 8,593,213,244,571,396/43,148,106
  6. Step 6: Final answer
    x = 199,156,209.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.