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Finding the Third Proportional to 98,121.38 and 147,303.56

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Solution

The third proportional to 98,121.38 and 147,303.56 is: 221,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121.38 : 147,303.56 = 147,303.56 : x
  2. Step 2: Convert to fraction form
    98,121.38/147,303.56 = 147,303.56/x
  3. Step 3: Cross multiply
    98,121.38x = 147,303.56 × 147,303.56
  4. Step 4: Simplify right side
    98,121.38x = 21,698,339,525.19
  5. Step 5: Solve for x
    x = 21,698,339,525.19/98,121.38
  6. Step 6: Final answer
    x = 221,137.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.