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Finding the Third Proportional to 195,685,013 and 419,381,730

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Solution

The third proportional to 195,685,013 and 419,381,730 is: 898,796,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,685,013 : 419,381,730 = 419,381,730 : x
  2. Step 2: Convert to fraction form
    195,685,013/419,381,730 = 419,381,730/x
  3. Step 3: Cross multiply
    195,685,013x = 419,381,730 × 419,381,730
  4. Step 4: Simplify right side
    195,685,013x = 175,881,035,457,792,896
  5. Step 5: Solve for x
    x = 175,881,035,457,792,896/195,685,013
  6. Step 6: Final answer
    x = 898,796,656.74

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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.