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Finding the Third Proportional to 49,208.63 and 103,095

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Solution

The third proportional to 49,208.63 and 103,095 is: 215,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.63 : 103,095 = 103,095 : x
  2. Step 2: Convert to fraction form
    49,208.63/103,095 = 103,095/x
  3. Step 3: Cross multiply
    49,208.63x = 103,095 × 103,095
  4. Step 4: Simplify right side
    49,208.63x = 10,628,579,025
  5. Step 5: Solve for x
    x = 10,628,579,025/49,208.63
  6. Step 6: Final answer
    x = 215,990.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.