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Finding the Third Proportional to 89,592,782,814 and 191,964,752,616

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Solution

The third proportional to 89,592,782,814 and 191,964,752,616 is: 411,310,655,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,592,782,814 : 191,964,752,616 = 191,964,752,616 : x
  2. Step 2: Convert to fraction form
    89,592,782,814/191,964,752,616 = 191,964,752,616/x
  3. Step 3: Cross multiply
    89,592,782,814x = 191,964,752,616 × 191,964,752,616
  4. Step 4: Simplify right side
    89,592,782,814x = 36,850,466,246,922,080,354,304
  5. Step 5: Solve for x
    x = 36,850,466,246,922,080,354,304/89,592,782,814
  6. Step 6: Final answer
    x = 411,310,655,719.07

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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.