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Finding the Third Proportional to 102,270,109 and 219,718,966

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Solution

The third proportional to 102,270,109 and 219,718,966 is: 472,048,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,270,109 : 219,718,966 = 219,718,966 : x
  2. Step 2: Convert to fraction form
    102,270,109/219,718,966 = 219,718,966/x
  3. Step 3: Cross multiply
    102,270,109x = 219,718,966 × 219,718,966
  4. Step 4: Simplify right side
    102,270,109x = 48,276,424,020,109,152
  5. Step 5: Solve for x
    x = 48,276,424,020,109,152/102,270,109
  6. Step 6: Final answer
    x = 472,048,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.