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Finding the Third Proportional to 88,199.50 and 190,546

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Solution

The third proportional to 88,199.50 and 190,546 is: 411,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,199.50 : 190,546 = 190,546 : x
  2. Step 2: Convert to fraction form
    88,199.50/190,546 = 190,546/x
  3. Step 3: Cross multiply
    88,199.50x = 190,546 × 190,546
  4. Step 4: Simplify right side
    88,199.50x = 36,307,778,116
  5. Step 5: Solve for x
    x = 36,307,778,116/88,199.50
  6. Step 6: Final answer
    x = 411,655.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.