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Finding the Third Proportional to 92,134 and 193,551.50

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Solution

The third proportional to 92,134 and 193,551.50 is: 406,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134 : 193,551.50 = 193,551.50 : x
  2. Step 2: Convert to fraction form
    92,134/193,551.50 = 193,551.50/x
  3. Step 3: Cross multiply
    92,134x = 193,551.50 × 193,551.50
  4. Step 4: Simplify right side
    92,134x = 37,462,183,152.25
  5. Step 5: Solve for x
    x = 37,462,183,152.25/92,134
  6. Step 6: Final answer
    x = 406,605.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.