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Finding the Third Proportional to 98,746.31 and 148,991.91

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Solution

The third proportional to 98,746.31 and 148,991.91 is: 224,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,746.31 : 148,991.91 = 148,991.91 : x
  2. Step 2: Convert to fraction form
    98,746.31/148,991.91 = 148,991.91/x
  3. Step 3: Cross multiply
    98,746.31x = 148,991.91 × 148,991.91
  4. Step 4: Simplify right side
    98,746.31x = 22,198,588,128.01
  5. Step 5: Solve for x
    x = 22,198,588,128.01/98,746.31
  6. Step 6: Final answer
    x = 224,804.22

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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.