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Finding the Third Proportional to 103,800.23 and 155,699.93

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Solution

The third proportional to 103,800.23 and 155,699.93 is: 233,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,800.23 : 155,699.93 = 155,699.93 : x
  2. Step 2: Convert to fraction form
    103,800.23/155,699.93 = 155,699.93/x
  3. Step 3: Cross multiply
    103,800.23x = 155,699.93 × 155,699.93
  4. Step 4: Simplify right side
    103,800.23x = 24,242,468,104.69
  5. Step 5: Solve for x
    x = 24,242,468,104.69/103,800.23
  6. Step 6: Final answer
    x = 233,549.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.