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Finding the Third Proportional to 195,233,754 and 259,104,127.50

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Solution

The third proportional to 195,233,754 and 259,104,127.50 is: 343,869,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,233,754 : 259,104,127.50 = 259,104,127.50 : x
  2. Step 2: Convert to fraction form
    195,233,754/259,104,127.50 = 259,104,127.50/x
  3. Step 3: Cross multiply
    195,233,754x = 259,104,127.50 × 259,104,127.50
  4. Step 4: Simplify right side
    195,233,754x = 67,134,948,887,536,256
  5. Step 5: Solve for x
    x = 67,134,948,887,536,256/195,233,754
  6. Step 6: Final answer
    x = 343,869,579.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.