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Finding the Third Proportional to 46,089.75 and 97,579.50

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Solution

The third proportional to 46,089.75 and 97,579.50 is: 206,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089.75 : 97,579.50 = 97,579.50 : x
  2. Step 2: Convert to fraction form
    46,089.75/97,579.50 = 97,579.50/x
  3. Step 3: Cross multiply
    46,089.75x = 97,579.50 × 97,579.50
  4. Step 4: Simplify right side
    46,089.75x = 9,521,758,820.25
  5. Step 5: Solve for x
    x = 9,521,758,820.25/46,089.75
  6. Step 6: Final answer
    x = 206,591.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.