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Finding the Third Proportional to 70,496.72 and 146,802.94

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Solution

The third proportional to 70,496.72 and 146,802.94 is: 305,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,496.72 : 146,802.94 = 146,802.94 : x
  2. Step 2: Convert to fraction form
    70,496.72/146,802.94 = 146,802.94/x
  3. Step 3: Cross multiply
    70,496.72x = 146,802.94 × 146,802.94
  4. Step 4: Simplify right side
    70,496.72x = 21,551,102,458.63
  5. Step 5: Solve for x
    x = 21,551,102,458.63/70,496.72
  6. Step 6: Final answer
    x = 305,703.62

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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.