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Finding the Third Proportional to 76,693.08 and 157,103.30

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Solution

The third proportional to 76,693.08 and 157,103.30 is: 321,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.08 : 157,103.30 = 157,103.30 : x
  2. Step 2: Convert to fraction form
    76,693.08/157,103.30 = 157,103.30/x
  3. Step 3: Cross multiply
    76,693.08x = 157,103.30 × 157,103.30
  4. Step 4: Simplify right side
    76,693.08x = 24,681,445,888.99
  5. Step 5: Solve for x
    x = 24,681,445,888.99/76,693.08
  6. Step 6: Final answer
    x = 321,821.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.