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Finding the Third Proportional to 189,527,622 and 286,624,233

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Solution

The third proportional to 189,527,622 and 286,624,233 is: 433,464,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527,622 : 286,624,233 = 286,624,233 : x
  2. Step 2: Convert to fraction form
    189,527,622/286,624,233 = 286,624,233/x
  3. Step 3: Cross multiply
    189,527,622x = 286,624,233 × 286,624,233
  4. Step 4: Simplify right side
    189,527,622x = 82,153,450,942,838,288
  5. Step 5: Solve for x
    x = 82,153,450,942,838,288/189,527,622
  6. Step 6: Final answer
    x = 433,464,262.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.