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Finding the Third Proportional to 195,186,412 and 260,219,532

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Solution

The third proportional to 195,186,412 and 260,219,532 is: 346,920,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,186,412 : 260,219,532 = 260,219,532 : x
  2. Step 2: Convert to fraction form
    195,186,412/260,219,532 = 260,219,532/x
  3. Step 3: Cross multiply
    195,186,412x = 260,219,532 × 260,219,532
  4. Step 4: Simplify right side
    195,186,412x = 67,714,204,834,299,024
  5. Step 5: Solve for x
    x = 67,714,204,834,299,024/195,186,412
  6. Step 6: Final answer
    x = 346,920,690.54

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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.