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Finding the Third Proportional to 85,141,206 and 131,541,732

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Solution

The third proportional to 85,141,206 and 131,541,732 is: 203,229,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141,206 : 131,541,732 = 131,541,732 : x
  2. Step 2: Convert to fraction form
    85,141,206/131,541,732 = 131,541,732/x
  3. Step 3: Cross multiply
    85,141,206x = 131,541,732 × 131,541,732
  4. Step 4: Simplify right side
    85,141,206x = 17,303,227,257,559,824
  5. Step 5: Solve for x
    x = 17,303,227,257,559,824/85,141,206
  6. Step 6: Final answer
    x = 203,229,764.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.