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Finding the Third Proportional to 39,902,091.19 and 85,957,580.81

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Solution

The third proportional to 39,902,091.19 and 85,957,580.81 is: 185,170,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,902,091.19 : 85,957,580.81 = 85,957,580.81 : x
  2. Step 2: Convert to fraction form
    39,902,091.19/85,957,580.81 = 85,957,580.81/x
  3. Step 3: Cross multiply
    39,902,091.19x = 85,957,580.81 × 85,957,580.81
  4. Step 4: Simplify right side
    39,902,091.19x = 7,388,705,699,137,468
  5. Step 5: Solve for x
    x = 7,388,705,699,137,468/39,902,091.19
  6. Step 6: Final answer
    x = 185,170,889.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.