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Finding the Third Proportional to 86,433,489,870 and 187,295,355,804

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Solution

The third proportional to 86,433,489,870 and 187,295,355,804 is: 405,855,998,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,433,489,870 : 187,295,355,804 = 187,295,355,804 : x
  2. Step 2: Convert to fraction form
    86,433,489,870/187,295,355,804 = 187,295,355,804/x
  3. Step 3: Cross multiply
    86,433,489,870x = 187,295,355,804 × 187,295,355,804
  4. Step 4: Simplify right side
    86,433,489,870x = 35,079,550,305,746,957,631,488
  5. Step 5: Solve for x
    x = 35,079,550,305,746,957,631,488/86,433,489,870
  6. Step 6: Final answer
    x = 405,855,998,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.