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Finding the Third Proportional to 98,113.50 and 147,939.19

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Solution

The third proportional to 98,113.50 and 147,939.19 is: 223,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.50 : 147,939.19 = 147,939.19 : x
  2. Step 2: Convert to fraction form
    98,113.50/147,939.19 = 147,939.19/x
  3. Step 3: Cross multiply
    98,113.50x = 147,939.19 × 147,939.19
  4. Step 4: Simplify right side
    98,113.50x = 21,886,003,198.16
  5. Step 5: Solve for x
    x = 21,886,003,198.16/98,113.50
  6. Step 6: Final answer
    x = 223,068.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.