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Finding the Third Proportional to 101,399,802 and 218,963,748

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Solution

The third proportional to 101,399,802 and 218,963,748 is: 472,832,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,399,802 : 218,963,748 = 218,963,748 : x
  2. Step 2: Convert to fraction form
    101,399,802/218,963,748 = 218,963,748/x
  3. Step 3: Cross multiply
    101,399,802x = 218,963,748 × 218,963,748
  4. Step 4: Simplify right side
    101,399,802x = 47,945,122,938,207,504
  5. Step 5: Solve for x
    x = 47,945,122,938,207,504/101,399,802
  6. Step 6: Final answer
    x = 472,832,510.44

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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.