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Finding the Third Proportional to 195,685,008 and 419,381,721

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Solution

The third proportional to 195,685,008 and 419,381,721 is: 898,796,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,685,008 : 419,381,721 = 419,381,721 : x
  2. Step 2: Convert to fraction form
    195,685,008/419,381,721 = 419,381,721/x
  3. Step 3: Cross multiply
    195,685,008x = 419,381,721 × 419,381,721
  4. Step 4: Simplify right side
    195,685,008x = 175,881,027,908,921,856
  5. Step 5: Solve for x
    x = 175,881,027,908,921,856/195,685,008
  6. Step 6: Final answer
    x = 898,796,641.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.