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Finding the Third Proportional to 107,941,836.94 and 157,864,659.75

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Solution

The third proportional to 107,941,836.94 and 157,864,659.75 is: 230,876,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,941,836.94 : 157,864,659.75 = 157,864,659.75 : x
  2. Step 2: Convert to fraction form
    107,941,836.94/157,864,659.75 = 157,864,659.75/x
  3. Step 3: Cross multiply
    107,941,836.94x = 157,864,659.75 × 157,864,659.75
  4. Step 4: Simplify right side
    107,941,836.94x = 24,921,250,797,983,272
  5. Step 5: Solve for x
    x = 24,921,250,797,983,272/107,941,836.94
  6. Step 6: Final answer
    x = 230,876,660.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.