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Finding the Third Proportional to 89,889,607,852 and 195,603,411,742

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Solution

The third proportional to 89,889,607,852 and 195,603,411,742 is: 425,640,912,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,889,607,852 : 195,603,411,742 = 195,603,411,742 : x
  2. Step 2: Convert to fraction form
    89,889,607,852/195,603,411,742 = 195,603,411,742/x
  3. Step 3: Cross multiply
    89,889,607,852x = 195,603,411,742 × 195,603,411,742
  4. Step 4: Simplify right side
    89,889,607,852x = 38,260,694,685,110,383,935,488
  5. Step 5: Solve for x
    x = 38,260,694,685,110,383,935,488/89,889,607,852
  6. Step 6: Final answer
    x = 425,640,912,218.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.