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Finding the Third Proportional to 82,817,082 and 179,436,201

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Solution

The third proportional to 82,817,082 and 179,436,201 is: 388,776,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817,082 : 179,436,201 = 179,436,201 : x
  2. Step 2: Convert to fraction form
    82,817,082/179,436,201 = 179,436,201/x
  3. Step 3: Cross multiply
    82,817,082x = 179,436,201 × 179,436,201
  4. Step 4: Simplify right side
    82,817,082x = 32,197,350,229,312,400
  5. Step 5: Solve for x
    x = 32,197,350,229,312,400/82,817,082
  6. Step 6: Final answer
    x = 388,776,680.51

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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.