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Finding the Third Proportional to 195,233,728.50 and 259,104,089.25

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Solution

The third proportional to 195,233,728.50 and 259,104,089.25 is: 343,869,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,233,728.50 : 259,104,089.25 = 259,104,089.25 : x
  2. Step 2: Convert to fraction form
    195,233,728.50/259,104,089.25 = 259,104,089.25/x
  3. Step 3: Cross multiply
    195,233,728.50x = 259,104,089.25 × 259,104,089.25
  4. Step 4: Simplify right side
    195,233,728.50x = 67,134,929,066,071,968
  5. Step 5: Solve for x
    x = 67,134,929,066,071,968/195,233,728.50
  6. Step 6: Final answer
    x = 343,869,522.86

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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.