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Finding the Third Proportional to 87,247,848 and 189,036,168

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Solution

The third proportional to 87,247,848 and 189,036,168 is: 409,576,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,247,848 : 189,036,168 = 189,036,168 : x
  2. Step 2: Convert to fraction form
    87,247,848/189,036,168 = 189,036,168/x
  3. Step 3: Cross multiply
    87,247,848x = 189,036,168 × 189,036,168
  4. Step 4: Simplify right side
    87,247,848x = 35,734,672,812,124,224
  5. Step 5: Solve for x
    x = 35,734,672,812,124,224/87,247,848
  6. Step 6: Final answer
    x = 409,576,552.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.