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Finding the Third Proportional to 77,744,523.75 and 179,983,485

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Solution

The third proportional to 77,744,523.75 and 179,983,485 is: 416,673,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,523.75 : 179,983,485 = 179,983,485 : x
  2. Step 2: Convert to fraction form
    77,744,523.75/179,983,485 = 179,983,485/x
  3. Step 3: Cross multiply
    77,744,523.75x = 179,983,485 × 179,983,485
  4. Step 4: Simplify right side
    77,744,523.75x = 32,394,054,872,745,224
  5. Step 5: Solve for x
    x = 32,394,054,872,745,224/77,744,523.75
  6. Step 6: Final answer
    x = 416,673,140.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.