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Finding the Third Proportional to 107,407,035 and 159,096,690

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Solution

The third proportional to 107,407,035 and 159,096,690 is: 235,662,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,035 : 159,096,690 = 159,096,690 : x
  2. Step 2: Convert to fraction form
    107,407,035/159,096,690 = 159,096,690/x
  3. Step 3: Cross multiply
    107,407,035x = 159,096,690 × 159,096,690
  4. Step 4: Simplify right side
    107,407,035x = 25,311,756,768,956,100
  5. Step 5: Solve for x
    x = 25,311,756,768,956,100/107,407,035
  6. Step 6: Final answer
    x = 235,662,000.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.