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Finding the Third Proportional to 70,498.69 and 146,807.44

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Solution

The third proportional to 70,498.69 and 146,807.44 is: 305,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.69 : 146,807.44 = 146,807.44 : x
  2. Step 2: Convert to fraction form
    70,498.69/146,807.44 = 146,807.44/x
  3. Step 3: Cross multiply
    70,498.69x = 146,807.44 × 146,807.44
  4. Step 4: Simplify right side
    70,498.69x = 21,552,423,705.32
  5. Step 5: Solve for x
    x = 21,552,423,705.32/70,498.69
  6. Step 6: Final answer
    x = 305,713.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.