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Finding the Third Proportional to 85,345,800.75 and 127,073,916

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Solution

The third proportional to 85,345,800.75 and 127,073,916 is: 189,204,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,345,800.75 : 127,073,916 = 127,073,916 : x
  2. Step 2: Convert to fraction form
    85,345,800.75/127,073,916 = 127,073,916/x
  3. Step 3: Cross multiply
    85,345,800.75x = 127,073,916 × 127,073,916
  4. Step 4: Simplify right side
    85,345,800.75x = 16,147,780,127,575,056
  5. Step 5: Solve for x
    x = 16,147,780,127,575,056/85,345,800.75
  6. Step 6: Final answer
    x = 189,204,155.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.