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Finding the Third Proportional to 46,928.69 and 97,184.06

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Solution

The third proportional to 46,928.69 and 97,184.06 is: 201,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,928.69 : 97,184.06 = 97,184.06 : x
  2. Step 2: Convert to fraction form
    46,928.69/97,184.06 = 97,184.06/x
  3. Step 3: Cross multiply
    46,928.69x = 97,184.06 × 97,184.06
  4. Step 4: Simplify right side
    46,928.69x = 9,444,742,004.00
  5. Step 5: Solve for x
    x = 9,444,742,004.00/46,928.69
  6. Step 6: Final answer
    x = 201,257.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.