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Finding the Third Proportional to 70,498.13 and 109,213.88

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Solution

The third proportional to 70,498.13 and 109,213.88 is: 169,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.13 : 109,213.88 = 109,213.88 : x
  2. Step 2: Convert to fraction form
    70,498.13/109,213.88 = 109,213.88/x
  3. Step 3: Cross multiply
    70,498.13x = 109,213.88 × 109,213.88
  4. Step 4: Simplify right side
    70,498.13x = 11,927,670,492.52
  5. Step 5: Solve for x
    x = 11,927,670,492.52/70,498.13
  6. Step 6: Final answer
    x = 169,191.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.