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Finding the Third Proportional to 41,542,771.50 and 96,164,005.50

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Solution

The third proportional to 41,542,771.50 and 96,164,005.50 is: 222,602,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542,771.50 : 96,164,005.50 = 96,164,005.50 : x
  2. Step 2: Convert to fraction form
    41,542,771.50/96,164,005.50 = 96,164,005.50/x
  3. Step 3: Cross multiply
    41,542,771.50x = 96,164,005.50 × 96,164,005.50
  4. Step 4: Simplify right side
    41,542,771.50x = 9,247,515,953,804,030
  5. Step 5: Solve for x
    x = 9,247,515,953,804,030/41,542,771.50
  6. Step 6: Final answer
    x = 222,602,287.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.