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Finding the Third Proportional to 86,143,540.50 and 189,024,738.75

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Solution

The third proportional to 86,143,540.50 and 189,024,738.75 is: 414,776,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,540.50 : 189,024,738.75 = 189,024,738.75 : x
  2. Step 2: Convert to fraction form
    86,143,540.50/189,024,738.75 = 189,024,738.75/x
  3. Step 3: Cross multiply
    86,143,540.50x = 189,024,738.75 × 189,024,738.75
  4. Step 4: Simplify right side
    86,143,540.50x = 35,730,351,859,505,752
  5. Step 5: Solve for x
    x = 35,730,351,859,505,752/86,143,540.50
  6. Step 6: Final answer
    x = 414,776,913.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.