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Finding the Third Proportional to 101,176,824 and 217,698,976

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Solution

The third proportional to 101,176,824 and 217,698,976 is: 468,416,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,824 : 217,698,976 = 217,698,976 : x
  2. Step 2: Convert to fraction form
    101,176,824/217,698,976 = 217,698,976/x
  3. Step 3: Cross multiply
    101,176,824x = 217,698,976 × 217,698,976
  4. Step 4: Simplify right side
    101,176,824x = 47,392,844,151,448,576
  5. Step 5: Solve for x
    x = 47,392,844,151,448,576/101,176,824
  6. Step 6: Final answer
    x = 468,416,009.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.