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Finding the Third Proportional to 39,782,023.50 and 83,098,239

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Solution

The third proportional to 39,782,023.50 and 83,098,239 is: 173,578,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782,023.50 : 83,098,239 = 83,098,239 : x
  2. Step 2: Convert to fraction form
    39,782,023.50/83,098,239 = 83,098,239/x
  3. Step 3: Cross multiply
    39,782,023.50x = 83,098,239 × 83,098,239
  4. Step 4: Simplify right side
    39,782,023.50x = 6,905,317,324,901,121
  5. Step 5: Solve for x
    x = 6,905,317,324,901,121/39,782,023.50
  6. Step 6: Final answer
    x = 173,578,835.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.