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Finding the Third Proportional to 46,018.13 and 98,984.53

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Solution

The third proportional to 46,018.13 and 98,984.53 is: 212,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 98,984.53 = 98,984.53 : x
  2. Step 2: Convert to fraction form
    46,018.13/98,984.53 = 98,984.53/x
  3. Step 3: Cross multiply
    46,018.13x = 98,984.53 × 98,984.53
  4. Step 4: Simplify right side
    46,018.13x = 9,797,937,426.78
  5. Step 5: Solve for x
    x = 9,797,937,426.78/46,018.13
  6. Step 6: Final answer
    x = 212,914.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.