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Finding the Third Proportional to 88,106,289 and 186,715,569

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Solution

The third proportional to 88,106,289 and 186,715,569 is: 395,689,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,106,289 : 186,715,569 = 186,715,569 : x
  2. Step 2: Convert to fraction form
    88,106,289/186,715,569 = 186,715,569/x
  3. Step 3: Cross multiply
    88,106,289x = 186,715,569 × 186,715,569
  4. Step 4: Simplify right side
    88,106,289x = 34,862,703,706,993,760
  5. Step 5: Solve for x
    x = 34,862,703,706,993,760/88,106,289
  6. Step 6: Final answer
    x = 395,689,162.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.