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Finding the Third Proportional to 46,234.55 and 88,972.17

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Solution

The third proportional to 46,234.55 and 88,972.17 is: 171,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234.55 : 88,972.17 = 88,972.17 : x
  2. Step 2: Convert to fraction form
    46,234.55/88,972.17 = 88,972.17/x
  3. Step 3: Cross multiply
    46,234.55x = 88,972.17 × 88,972.17
  4. Step 4: Simplify right side
    46,234.55x = 7,916,047,368.15
  5. Step 5: Solve for x
    x = 7,916,047,368.15/46,234.55
  6. Step 6: Final answer
    x = 171,214.99

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.