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Finding the Third Proportional to 106,206,082 and 164,025,752

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Solution

The third proportional to 106,206,082 and 164,025,752 is: 253,323,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206,082 : 164,025,752 = 164,025,752 : x
  2. Step 2: Convert to fraction form
    106,206,082/164,025,752 = 164,025,752/x
  3. Step 3: Cross multiply
    106,206,082x = 164,025,752 × 164,025,752
  4. Step 4: Simplify right side
    106,206,082x = 26,904,447,319,165,504
  5. Step 5: Solve for x
    x = 26,904,447,319,165,504/106,206,082
  6. Step 6: Final answer
    x = 253,323,037.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.