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Finding the Third Proportional to 100,695,775.75 and 216,885,763

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Solution

The third proportional to 100,695,775.75 and 216,885,763 is: 467,144,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,775.75 : 216,885,763 = 216,885,763 : x
  2. Step 2: Convert to fraction form
    100,695,775.75/216,885,763 = 216,885,763/x
  3. Step 3: Cross multiply
    100,695,775.75x = 216,885,763 × 216,885,763
  4. Step 4: Simplify right side
    100,695,775.75x = 47,039,434,192,092,168
  5. Step 5: Solve for x
    x = 47,039,434,192,092,168/100,695,775.75
  6. Step 6: Final answer
    x = 467,144,066.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.