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Finding the Third Proportional to 71,882,100 and 102,792,240

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Solution

The third proportional to 71,882,100 and 102,792,240 is: 146,994,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882,100 : 102,792,240 = 102,792,240 : x
  2. Step 2: Convert to fraction form
    71,882,100/102,792,240 = 102,792,240/x
  3. Step 3: Cross multiply
    71,882,100x = 102,792,240 × 102,792,240
  4. Step 4: Simplify right side
    71,882,100x = 10,566,244,604,217,600
  5. Step 5: Solve for x
    x = 10,566,244,604,217,600/71,882,100
  6. Step 6: Final answer
    x = 146,994,100.12

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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.