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Finding the Third Proportional to 106,804,995,786 and 222,399,596,628

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Solution

The third proportional to 106,804,995,786 and 222,399,596,628 is: 463,101,751,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,804,995,786 : 222,399,596,628 = 222,399,596,628 : x
  2. Step 2: Convert to fraction form
    106,804,995,786/222,399,596,628 = 222,399,596,628/x
  3. Step 3: Cross multiply
    106,804,995,786x = 222,399,596,628 × 222,399,596,628
  4. Step 4: Simplify right side
    106,804,995,786x = 49,461,580,580,297,109,405,696
  5. Step 5: Solve for x
    x = 49,461,580,580,297,109,405,696/106,804,995,786
  6. Step 6: Final answer
    x = 463,101,751,152.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.