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Finding the Third Proportional to 195,186,115 and 260,219,116

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Solution

The third proportional to 195,186,115 and 260,219,116 is: 346,920,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,186,115 : 260,219,116 = 260,219,116 : x
  2. Step 2: Convert to fraction form
    195,186,115/260,219,116 = 260,219,116/x
  3. Step 3: Cross multiply
    195,186,115x = 260,219,116 × 260,219,116
  4. Step 4: Simplify right side
    195,186,115x = 67,713,988,331,821,456
  5. Step 5: Solve for x
    x = 67,713,988,331,821,456/195,186,115
  6. Step 6: Final answer
    x = 346,920,109.21

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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.