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Finding the Third Proportional to 101,176,830 and 217,698,986

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Solution

The third proportional to 101,176,830 and 217,698,986 is: 468,416,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,830 : 217,698,986 = 217,698,986 : x
  2. Step 2: Convert to fraction form
    101,176,830/217,698,986 = 217,698,986/x
  3. Step 3: Cross multiply
    101,176,830x = 217,698,986 × 217,698,986
  4. Step 4: Simplify right side
    101,176,830x = 47,392,848,505,428,192
  5. Step 5: Solve for x
    x = 47,392,848,505,428,192/101,176,830
  6. Step 6: Final answer
    x = 468,416,024.75

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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.