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Finding the Third Proportional to 38,254,322.25 and 83,003,485.88

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Solution

The third proportional to 38,254,322.25 and 83,003,485.88 is: 180,099,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254,322.25 : 83,003,485.88 = 83,003,485.88 : x
  2. Step 2: Convert to fraction form
    38,254,322.25/83,003,485.88 = 83,003,485.88/x
  3. Step 3: Cross multiply
    38,254,322.25x = 83,003,485.88 × 83,003,485.88
  4. Step 4: Simplify right side
    38,254,322.25x = 6,889,578,667,401,325
  5. Step 5: Solve for x
    x = 6,889,578,667,401,325/38,254,322.25
  6. Step 6: Final answer
    x = 180,099,352.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.