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Finding the Third Proportional to 71,882,102 and 102,792,243

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Solution

The third proportional to 71,882,102 and 102,792,243 is: 146,994,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882,102 : 102,792,243 = 102,792,243 : x
  2. Step 2: Convert to fraction form
    71,882,102/102,792,243 = 102,792,243/x
  3. Step 3: Cross multiply
    71,882,102x = 102,792,243 × 102,792,243
  4. Step 4: Simplify right side
    71,882,102x = 10,566,245,220,971,048
  5. Step 5: Solve for x
    x = 10,566,245,220,971,048/71,882,102
  6. Step 6: Final answer
    x = 146,994,104.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.