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Finding the Third Proportional to 85,373,248 and 186,936,128

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Solution

The third proportional to 85,373,248 and 186,936,128 is: 409,321,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,373,248 : 186,936,128 = 186,936,128 : x
  2. Step 2: Convert to fraction form
    85,373,248/186,936,128 = 186,936,128/x
  3. Step 3: Cross multiply
    85,373,248x = 186,936,128 × 186,936,128
  4. Step 4: Simplify right side
    85,373,248x = 34,945,115,951,632,384
  5. Step 5: Solve for x
    x = 34,945,115,951,632,384/85,373,248
  6. Step 6: Final answer
    x = 409,321,617.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.