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Finding the Third Proportional to 101,176,821 and 217,698,970

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Solution

The third proportional to 101,176,821 and 217,698,970 is: 468,415,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,821 : 217,698,970 = 217,698,970 : x
  2. Step 2: Convert to fraction form
    101,176,821/217,698,970 = 217,698,970/x
  3. Step 3: Cross multiply
    101,176,821x = 217,698,970 × 217,698,970
  4. Step 4: Simplify right side
    101,176,821x = 47,392,841,539,060,896
  5. Step 5: Solve for x
    x = 47,392,841,539,060,896/101,176,821
  6. Step 6: Final answer
    x = 468,415,997.56

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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.