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Finding the Third Proportional to 107,285.77 and 233,006.63

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Solution

The third proportional to 107,285.77 and 233,006.63 is: 506,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285.77 : 233,006.63 = 233,006.63 : x
  2. Step 2: Convert to fraction form
    107,285.77/233,006.63 = 233,006.63/x
  3. Step 3: Cross multiply
    107,285.77x = 233,006.63 × 233,006.63
  4. Step 4: Simplify right side
    107,285.77x = 54,292,087,293.89
  5. Step 5: Solve for x
    x = 54,292,087,293.89/107,285.77
  6. Step 6: Final answer
    x = 506,051.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.