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Finding the Third Proportional to 98,182.13 and 150,128.44

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Solution

The third proportional to 98,182.13 and 150,128.44 is: 229,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182.13 : 150,128.44 = 150,128.44 : x
  2. Step 2: Convert to fraction form
    98,182.13/150,128.44 = 150,128.44/x
  3. Step 3: Cross multiply
    98,182.13x = 150,128.44 × 150,128.44
  4. Step 4: Simplify right side
    98,182.13x = 22,538,547,746.19
  5. Step 5: Solve for x
    x = 22,538,547,746.19/98,182.13
  6. Step 6: Final answer
    x = 229,558.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.