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Finding the Third Proportional to 195,233,733 and 259,104,095

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Solution

The third proportional to 195,233,733 and 259,104,095 is: 343,869,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,233,733 : 259,104,095 = 259,104,095 : x
  2. Step 2: Convert to fraction form
    195,233,733/259,104,095 = 259,104,095/x
  3. Step 3: Cross multiply
    195,233,733x = 259,104,095 × 259,104,095
  4. Step 4: Simplify right side
    195,233,733x = 67,134,932,045,769,024
  5. Step 5: Solve for x
    x = 67,134,932,045,769,024/195,233,733
  6. Step 6: Final answer
    x = 343,869,530.20

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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.