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Finding the Third Proportional to 89,592,782,696 and 191,964,752,396

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Solution

The third proportional to 89,592,782,696 and 191,964,752,396 is: 411,310,655,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,592,782,696 : 191,964,752,396 = 191,964,752,396 : x
  2. Step 2: Convert to fraction form
    89,592,782,696/191,964,752,396 = 191,964,752,396/x
  3. Step 3: Cross multiply
    89,592,782,696x = 191,964,752,396 × 191,964,752,396
  4. Step 4: Simplify right side
    89,592,782,696x = 36,850,466,162,457,589,055,488
  5. Step 5: Solve for x
    x = 36,850,466,162,457,589,055,488/89,592,782,696
  6. Step 6: Final answer
    x = 411,310,655,318.03

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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.