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Finding the Third Proportional to 48,684,866 and 102,802,212

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Solution

The third proportional to 48,684,866 and 102,802,212 is: 217,075,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684,866 : 102,802,212 = 102,802,212 : x
  2. Step 2: Convert to fraction form
    48,684,866/102,802,212 = 102,802,212/x
  3. Step 3: Cross multiply
    48,684,866x = 102,802,212 × 102,802,212
  4. Step 4: Simplify right side
    48,684,866x = 10,568,294,792,092,944
  5. Step 5: Solve for x
    x = 10,568,294,792,092,944/48,684,866
  6. Step 6: Final answer
    x = 217,075,564.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.