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Finding the Third Proportional to 195,685,029 and 419,381,754

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Solution

The third proportional to 195,685,029 and 419,381,754 is: 898,796,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,685,029 : 419,381,754 = 419,381,754 : x
  2. Step 2: Convert to fraction form
    195,685,029/419,381,754 = 419,381,754/x
  3. Step 3: Cross multiply
    195,685,029x = 419,381,754 × 419,381,754
  4. Step 4: Simplify right side
    195,685,029x = 175,881,055,588,116,512
  5. Step 5: Solve for x
    x = 175,881,055,588,116,512/195,685,029
  6. Step 6: Final answer
    x = 898,796,686.12

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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.