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Finding the Third Proportional to 100,698,950 and 155,496,790

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Solution

The third proportional to 100,698,950 and 155,496,790 is: 240,114,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,950 : 155,496,790 = 155,496,790 : x
  2. Step 2: Convert to fraction form
    100,698,950/155,496,790 = 155,496,790/x
  3. Step 3: Cross multiply
    100,698,950x = 155,496,790 × 155,496,790
  4. Step 4: Simplify right side
    100,698,950x = 24,179,251,700,304,100
  5. Step 5: Solve for x
    x = 24,179,251,700,304,100/100,698,950
  6. Step 6: Final answer
    x = 240,114,238.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.