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Finding the Third Proportional to 101,399,796 and 218,963,736

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Solution

The third proportional to 101,399,796 and 218,963,736 is: 472,832,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,399,796 : 218,963,736 = 218,963,736 : x
  2. Step 2: Convert to fraction form
    101,399,796/218,963,736 = 218,963,736/x
  3. Step 3: Cross multiply
    101,399,796x = 218,963,736 × 218,963,736
  4. Step 4: Simplify right side
    101,399,796x = 47,945,117,683,077,696
  5. Step 5: Solve for x
    x = 47,945,117,683,077,696/101,399,796
  6. Step 6: Final answer
    x = 472,832,486.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.