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Finding the Third Proportional to 68,140,082 and 105,804,579

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Solution

The third proportional to 68,140,082 and 105,804,579 is: 164,288,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,082 : 105,804,579 = 105,804,579 : x
  2. Step 2: Convert to fraction form
    68,140,082/105,804,579 = 105,804,579/x
  3. Step 3: Cross multiply
    68,140,082x = 105,804,579 × 105,804,579
  4. Step 4: Simplify right side
    68,140,082x = 11,194,608,937,367,240
  5. Step 5: Solve for x
    x = 11,194,608,937,367,240/68,140,082
  6. Step 6: Final answer
    x = 164,288,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.