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Finding the Third Proportional to 30,319.13 and 70,816.31

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Solution

The third proportional to 30,319.13 and 70,816.31 is: 165,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.13 : 70,816.31 = 70,816.31 : x
  2. Step 2: Convert to fraction form
    30,319.13/70,816.31 = 70,816.31/x
  3. Step 3: Cross multiply
    30,319.13x = 70,816.31 × 70,816.31
  4. Step 4: Simplify right side
    30,319.13x = 5,014,950,116.10
  5. Step 5: Solve for x
    x = 5,014,950,116.10/30,319.13
  6. Step 6: Final answer
    x = 165,405.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.