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Finding the Third Proportional to 49,812,571 and 102,808,329

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Solution

The third proportional to 49,812,571 and 102,808,329 is: 212,186,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812,571 : 102,808,329 = 102,808,329 : x
  2. Step 2: Convert to fraction form
    49,812,571/102,808,329 = 102,808,329/x
  3. Step 3: Cross multiply
    49,812,571x = 102,808,329 × 102,808,329
  4. Step 4: Simplify right side
    49,812,571x = 10,569,552,511,772,240
  5. Step 5: Solve for x
    x = 10,569,552,511,772,240/49,812,571
  6. Step 6: Final answer
    x = 212,186,448.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.