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Finding the Third Proportional to 85,595.50 and 190,860.50

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Solution

The third proportional to 85,595.50 and 190,860.50 is: 425,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,595.50 : 190,860.50 = 190,860.50 : x
  2. Step 2: Convert to fraction form
    85,595.50/190,860.50 = 190,860.50/x
  3. Step 3: Cross multiply
    85,595.50x = 190,860.50 × 190,860.50
  4. Step 4: Simplify right side
    85,595.50x = 36,427,730,460.25
  5. Step 5: Solve for x
    x = 36,427,730,460.25/85,595.50
  6. Step 6: Final answer
    x = 425,579.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.