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Finding the Third Proportional to 65,473,172 and 91,035,214

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Solution

The third proportional to 65,473,172 and 91,035,214 is: 126,577,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473,172 : 91,035,214 = 91,035,214 : x
  2. Step 2: Convert to fraction form
    65,473,172/91,035,214 = 91,035,214/x
  3. Step 3: Cross multiply
    65,473,172x = 91,035,214 × 91,035,214
  4. Step 4: Simplify right side
    65,473,172x = 8,287,410,188,025,796
  5. Step 5: Solve for x
    x = 8,287,410,188,025,796/65,473,172
  6. Step 6: Final answer
    x = 126,577,190.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.