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Finding the Third Proportional to 69,918,606 and 105,848,964

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Solution

The third proportional to 69,918,606 and 105,848,964 is: 160,243,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,918,606 : 105,848,964 = 105,848,964 : x
  2. Step 2: Convert to fraction form
    69,918,606/105,848,964 = 105,848,964/x
  3. Step 3: Cross multiply
    69,918,606x = 105,848,964 × 105,848,964
  4. Step 4: Simplify right side
    69,918,606x = 11,204,003,179,873,296
  5. Step 5: Solve for x
    x = 11,204,003,179,873,296/69,918,606
  6. Step 6: Final answer
    x = 160,243,514.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.