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Finding the Third Proportional to 36,057,189 and 85,032,115.50

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Solution

The third proportional to 36,057,189 and 85,032,115.50 is: 200,527,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,057,189 : 85,032,115.50 = 85,032,115.50 : x
  2. Step 2: Convert to fraction form
    36,057,189/85,032,115.50 = 85,032,115.50/x
  3. Step 3: Cross multiply
    36,057,189x = 85,032,115.50 × 85,032,115.50
  4. Step 4: Simplify right side
    36,057,189x = 7,230,460,666,405,340
  5. Step 5: Solve for x
    x = 7,230,460,666,405,340/36,057,189
  6. Step 6: Final answer
    x = 200,527,574.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.