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Finding the Third Proportional to 85,098 and 180,955.50

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Solution

The third proportional to 85,098 and 180,955.50 is: 384,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 180,955.50 = 180,955.50 : x
  2. Step 2: Convert to fraction form
    85,098/180,955.50 = 180,955.50/x
  3. Step 3: Cross multiply
    85,098x = 180,955.50 × 180,955.50
  4. Step 4: Simplify right side
    85,098x = 32,744,892,980.25
  5. Step 5: Solve for x
    x = 32,744,892,980.25/85,098
  6. Step 6: Final answer
    x = 384,790.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.