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Finding the Third Proportional to 70,989,852.94 and 106,951,939.31

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Solution

The third proportional to 70,989,852.94 and 106,951,939.31 is: 161,131,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,989,852.94 : 106,951,939.31 = 106,951,939.31 : x
  2. Step 2: Convert to fraction form
    70,989,852.94/106,951,939.31 = 106,951,939.31/x
  3. Step 3: Cross multiply
    70,989,852.94x = 106,951,939.31 × 106,951,939.31
  4. Step 4: Simplify right side
    70,989,852.94x = 11,438,717,322,704,682
  5. Step 5: Solve for x
    x = 11,438,717,322,704,682/70,989,852.94
  6. Step 6: Final answer
    x = 161,131,723.05

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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.