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Finding the Third Proportional to 38,741,723.25 and 84,293,271.75

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Solution

The third proportional to 38,741,723.25 and 84,293,271.75 is: 183,403,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741,723.25 : 84,293,271.75 = 84,293,271.75 : x
  2. Step 2: Convert to fraction form
    38,741,723.25/84,293,271.75 = 84,293,271.75/x
  3. Step 3: Cross multiply
    38,741,723.25x = 84,293,271.75 × 84,293,271.75
  4. Step 4: Simplify right side
    38,741,723.25x = 7,105,355,662,319,348
  5. Step 5: Solve for x
    x = 7,105,355,662,319,348/38,741,723.25
  6. Step 6: Final answer
    x = 183,403,190.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.