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Finding the Third Proportional to 38,521,144 and 85,347,967.50

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Solution

The third proportional to 38,521,144 and 85,347,967.50 is: 189,098,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521,144 : 85,347,967.50 = 85,347,967.50 : x
  2. Step 2: Convert to fraction form
    38,521,144/85,347,967.50 = 85,347,967.50/x
  3. Step 3: Cross multiply
    38,521,144x = 85,347,967.50 × 85,347,967.50
  4. Step 4: Simplify right side
    38,521,144x = 7,284,275,556,381,056
  5. Step 5: Solve for x
    x = 7,284,275,556,381,056/38,521,144
  6. Step 6: Final answer
    x = 189,098,110.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.