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Finding the Third Proportional to 89,971,836,717 and 187,390,589,226

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Solution

The third proportional to 89,971,836,717 and 187,390,589,226 is: 390,291,386,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,836,717 : 187,390,589,226 = 187,390,589,226 : x
  2. Step 2: Convert to fraction form
    89,971,836,717/187,390,589,226 = 187,390,589,226/x
  3. Step 3: Cross multiply
    89,971,836,717x = 187,390,589,226 × 187,390,589,226
  4. Step 4: Simplify right side
    89,971,836,717x = 35,115,232,930,467,466,444,800
  5. Step 5: Solve for x
    x = 35,115,232,930,467,466,444,800/89,971,836,717
  6. Step 6: Final answer
    x = 390,291,386,858.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.