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Finding the Third Proportional to 102,317.63 and 157,850.44

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Solution

The third proportional to 102,317.63 and 157,850.44 is: 243,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.63 : 157,850.44 = 157,850.44 : x
  2. Step 2: Convert to fraction form
    102,317.63/157,850.44 = 157,850.44/x
  3. Step 3: Cross multiply
    102,317.63x = 157,850.44 × 157,850.44
  4. Step 4: Simplify right side
    102,317.63x = 24,916,760,618.94
  5. Step 5: Solve for x
    x = 24,916,760,618.94/102,317.63
  6. Step 6: Final answer
    x = 243,523.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.