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Finding the Third Proportional to 49,218.19 and 107,970.19

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Solution

The third proportional to 49,218.19 and 107,970.19 is: 236,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218.19 : 107,970.19 = 107,970.19 : x
  2. Step 2: Convert to fraction form
    49,218.19/107,970.19 = 107,970.19/x
  3. Step 3: Cross multiply
    49,218.19x = 107,970.19 × 107,970.19
  4. Step 4: Simplify right side
    49,218.19x = 11,657,561,388.79
  5. Step 5: Solve for x
    x = 11,657,561,388.79/49,218.19
  6. Step 6: Final answer
    x = 236,854.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.