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Finding the Third Proportional to 49,322.50 and 107,870.50

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Solution

The third proportional to 49,322.50 and 107,870.50 is: 235,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.50 : 107,870.50 = 107,870.50 : x
  2. Step 2: Convert to fraction form
    49,322.50/107,870.50 = 107,870.50/x
  3. Step 3: Cross multiply
    49,322.50x = 107,870.50 × 107,870.50
  4. Step 4: Simplify right side
    49,322.50x = 11,636,044,770.25
  5. Step 5: Solve for x
    x = 11,636,044,770.25/49,322.50
  6. Step 6: Final answer
    x = 235,917.58

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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.