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Finding the Third Proportional to 93,457.13 and 146,881.69

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Solution

The third proportional to 93,457.13 and 146,881.69 is: 230,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,457.13 : 146,881.69 = 146,881.69 : x
  2. Step 2: Convert to fraction form
    93,457.13/146,881.69 = 146,881.69/x
  3. Step 3: Cross multiply
    93,457.13x = 146,881.69 × 146,881.69
  4. Step 4: Simplify right side
    93,457.13x = 21,574,230,122.85
  5. Step 5: Solve for x
    x = 21,574,230,122.85/93,457.13
  6. Step 6: Final answer
    x = 230,846.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.