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Finding the Third Proportional to 100,235,785 and 159,496,430

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Solution

The third proportional to 100,235,785 and 159,496,430 is: 253,792,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,785 : 159,496,430 = 159,496,430 : x
  2. Step 2: Convert to fraction form
    100,235,785/159,496,430 = 159,496,430/x
  3. Step 3: Cross multiply
    100,235,785x = 159,496,430 × 159,496,430
  4. Step 4: Simplify right side
    100,235,785x = 25,439,111,182,744,900
  5. Step 5: Solve for x
    x = 25,439,111,182,744,900/100,235,785
  6. Step 6: Final answer
    x = 253,792,706.69

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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.