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Finding the Third Proportional to 119,405,745,252 and 261,305,018,568

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Solution

The third proportional to 119,405,745,252 and 261,305,018,568 is: 571,834,400,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,405,745,252 : 261,305,018,568 = 261,305,018,568 : x
  2. Step 2: Convert to fraction form
    119,405,745,252/261,305,018,568 = 261,305,018,568/x
  3. Step 3: Cross multiply
    119,405,745,252x = 261,305,018,568 × 261,305,018,568
  4. Step 4: Simplify right side
    119,405,745,252x = 68,280,312,728,822,826,926,080
  5. Step 5: Solve for x
    x = 68,280,312,728,822,826,926,080/119,405,745,252
  6. Step 6: Final answer
    x = 571,834,400,302.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.