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Finding the Third Proportional to 69,916,614 and 105,846,561

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Solution

The third proportional to 69,916,614 and 105,846,561 is: 160,240,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,916,614 : 105,846,561 = 105,846,561 : x
  2. Step 2: Convert to fraction form
    69,916,614/105,846,561 = 105,846,561/x
  3. Step 3: Cross multiply
    69,916,614x = 105,846,561 × 105,846,561
  4. Step 4: Simplify right side
    69,916,614x = 11,203,494,475,526,720
  5. Step 5: Solve for x
    x = 11,203,494,475,526,720/69,916,614
  6. Step 6: Final answer
    x = 160,240,804.50

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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.