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Finding the Third Proportional to 69,248,176 and 108,064,716

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Solution

The third proportional to 69,248,176 and 108,064,716 is: 168,639,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,248,176 : 108,064,716 = 108,064,716 : x
  2. Step 2: Convert to fraction form
    69,248,176/108,064,716 = 108,064,716/x
  3. Step 3: Cross multiply
    69,248,176x = 108,064,716 × 108,064,716
  4. Step 4: Simplify right side
    69,248,176x = 11,677,982,844,160,656
  5. Step 5: Solve for x
    x = 11,677,982,844,160,656/69,248,176
  6. Step 6: Final answer
    x = 168,639,573.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.