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Finding the Third Proportional to 150,009.47 and 202,064.63

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Solution

The third proportional to 150,009.47 and 202,064.63 is: 272,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009.47 : 202,064.63 = 202,064.63 : x
  2. Step 2: Convert to fraction form
    150,009.47/202,064.63 = 202,064.63/x
  3. Step 3: Cross multiply
    150,009.47x = 202,064.63 × 202,064.63
  4. Step 4: Simplify right side
    150,009.47x = 40,830,112,676.39
  5. Step 5: Solve for x
    x = 40,830,112,676.39/150,009.47
  6. Step 6: Final answer
    x = 272,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.