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Finding the Third Proportional to 216,663.19 and 483,114.94

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Solution

The third proportional to 216,663.19 and 483,114.94 is: 1,077,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,663.19 : 483,114.94 = 483,114.94 : x
  2. Step 2: Convert to fraction form
    216,663.19/483,114.94 = 483,114.94/x
  3. Step 3: Cross multiply
    216,663.19x = 483,114.94 × 483,114.94
  4. Step 4: Simplify right side
    216,663.19x = 233,400,042,835.63
  5. Step 5: Solve for x
    x = 233,400,042,835.63/216,663.19
  6. Step 6: Final answer
    x = 1,077,248.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.