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Finding the Third Proportional to 69,915,944 and 105,845,412

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Solution

The third proportional to 69,915,944 and 105,845,412 is: 160,238,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,944 : 105,845,412 = 105,845,412 : x
  2. Step 2: Convert to fraction form
    69,915,944/105,845,412 = 105,845,412/x
  3. Step 3: Cross multiply
    69,915,944x = 105,845,412 × 105,845,412
  4. Step 4: Simplify right side
    69,915,944x = 11,203,251,241,449,744
  5. Step 5: Solve for x
    x = 11,203,251,241,449,744/69,915,944
  6. Step 6: Final answer
    x = 160,238,861.13

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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.