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Finding the Third Proportional to 86,633,349,445.50 and 185,189,212,355.25

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Solution

The third proportional to 86,633,349,445.50 and 185,189,212,355.25 is: 395,864,232,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,633,349,445.50 : 185,189,212,355.25 = 185,189,212,355.25 : x
  2. Step 2: Convert to fraction form
    86,633,349,445.50/185,189,212,355.25 = 185,189,212,355.25/x
  3. Step 3: Cross multiply
    86,633,349,445.50x = 185,189,212,355.25 × 185,189,212,355.25
  4. Step 4: Simplify right side
    86,633,349,445.50x = 34,295,044,372,757,877,882,880
  5. Step 5: Solve for x
    x = 34,295,044,372,757,877,882,880/86,633,349,445.50
  6. Step 6: Final answer
    x = 395,864,232,333.91

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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.