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Finding the Third Proportional to 69,915,950 and 105,845,420

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Solution

The third proportional to 69,915,950 and 105,845,420 is: 160,238,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,950 : 105,845,420 = 105,845,420 : x
  2. Step 2: Convert to fraction form
    69,915,950/105,845,420 = 105,845,420/x
  3. Step 3: Cross multiply
    69,915,950x = 105,845,420 × 105,845,420
  4. Step 4: Simplify right side
    69,915,950x = 11,203,252,934,976,400
  5. Step 5: Solve for x
    x = 11,203,252,934,976,400/69,915,950
  6. Step 6: Final answer
    x = 160,238,871.60

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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.