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Finding the Third Proportional to 46,102.50 and 68,898.09

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Solution

The third proportional to 46,102.50 and 68,898.09 is: 102,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102.50 : 68,898.09 = 68,898.09 : x
  2. Step 2: Convert to fraction form
    46,102.50/68,898.09 = 68,898.09/x
  3. Step 3: Cross multiply
    46,102.50x = 68,898.09 × 68,898.09
  4. Step 4: Simplify right side
    46,102.50x = 4,746,947,322.38
  5. Step 5: Solve for x
    x = 4,746,947,322.38/46,102.50
  6. Step 6: Final answer
    x = 102,965.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.