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Finding the Third Proportional to 107,407,037 and 159,096,693

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Solution

The third proportional to 107,407,037 and 159,096,693 is: 235,662,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,037 : 159,096,693 = 159,096,693 : x
  2. Step 2: Convert to fraction form
    107,407,037/159,096,693 = 159,096,693/x
  3. Step 3: Cross multiply
    107,407,037x = 159,096,693 × 159,096,693
  4. Step 4: Simplify right side
    107,407,037x = 25,311,757,723,536,248
  5. Step 5: Solve for x
    x = 25,311,757,723,536,248/107,407,037
  6. Step 6: Final answer
    x = 235,662,005.31

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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.