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Finding the Third Proportional to 53,683.88 and 114,477.19

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Solution

The third proportional to 53,683.88 and 114,477.19 is: 244,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683.88 : 114,477.19 = 114,477.19 : x
  2. Step 2: Convert to fraction form
    53,683.88/114,477.19 = 114,477.19/x
  3. Step 3: Cross multiply
    53,683.88x = 114,477.19 × 114,477.19
  4. Step 4: Simplify right side
    53,683.88x = 13,105,026,457.91
  5. Step 5: Solve for x
    x = 13,105,026,457.91/53,683.88
  6. Step 6: Final answer
    x = 244,114.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.