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Finding the Third Proportional to 69,915,914 and 105,845,367

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Solution

The third proportional to 69,915,914 and 105,845,367 is: 160,238,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,914 : 105,845,367 = 105,845,367 : x
  2. Step 2: Convert to fraction form
    69,915,914/105,845,367 = 105,845,367/x
  3. Step 3: Cross multiply
    69,915,914x = 105,845,367 × 105,845,367
  4. Step 4: Simplify right side
    69,915,914x = 11,203,241,715,364,688
  5. Step 5: Solve for x
    x = 11,203,241,715,364,688/69,915,914
  6. Step 6: Final answer
    x = 160,238,793.64

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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.