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Finding the Third Proportional to 95,866,405,848 and 208,418,872,068

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Solution

The third proportional to 95,866,405,848 and 208,418,872,068 is: 453,114,162,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866,405,848 : 208,418,872,068 = 208,418,872,068 : x
  2. Step 2: Convert to fraction form
    95,866,405,848/208,418,872,068 = 208,418,872,068/x
  3. Step 3: Cross multiply
    95,866,405,848x = 208,418,872,068 × 208,418,872,068
  4. Step 4: Simplify right side
    95,866,405,848x = 43,438,426,234,097,347,067,904
  5. Step 5: Solve for x
    x = 43,438,426,234,097,347,067,904/95,866,405,848
  6. Step 6: Final answer
    x = 453,114,162,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.