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Finding the Third Proportional to 85,590 and 190,849.50

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Solution

The third proportional to 85,590 and 190,849.50 is: 425,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,590 : 190,849.50 = 190,849.50 : x
  2. Step 2: Convert to fraction form
    85,590/190,849.50 = 190,849.50/x
  3. Step 3: Cross multiply
    85,590x = 190,849.50 × 190,849.50
  4. Step 4: Simplify right side
    85,590x = 36,423,531,650.25
  5. Step 5: Solve for x
    x = 36,423,531,650.25/85,590
  6. Step 6: Final answer
    x = 425,558.26

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