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Finding the Third Proportional to 92,196.50 and 142,389.50

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Solution

The third proportional to 92,196.50 and 142,389.50 is: 219,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,196.50 : 142,389.50 = 142,389.50 : x
  2. Step 2: Convert to fraction form
    92,196.50/142,389.50 = 142,389.50/x
  3. Step 3: Cross multiply
    92,196.50x = 142,389.50 × 142,389.50
  4. Step 4: Simplify right side
    92,196.50x = 20,274,769,710.25
  5. Step 5: Solve for x
    x = 20,274,769,710.25/92,196.50
  6. Step 6: Final answer
    x = 219,908.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.