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Finding the Third Proportional to 100,235,964 and 159,496,781

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Solution

The third proportional to 100,235,964 and 159,496,781 is: 253,793,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,964 : 159,496,781 = 159,496,781 : x
  2. Step 2: Convert to fraction form
    100,235,964/159,496,781 = 159,496,781/x
  3. Step 3: Cross multiply
    100,235,964x = 159,496,781 × 159,496,781
  4. Step 4: Simplify right side
    100,235,964x = 25,439,223,149,361,960
  5. Step 5: Solve for x
    x = 25,439,223,149,361,960/100,235,964
  6. Step 6: Final answer
    x = 253,793,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.