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Finding the Third Proportional to 105,092 and 230,623

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Solution

The third proportional to 105,092 and 230,623 is: 506,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092 : 230,623 = 230,623 : x
  2. Step 2: Convert to fraction form
    105,092/230,623 = 230,623/x
  3. Step 3: Cross multiply
    105,092x = 230,623 × 230,623
  4. Step 4: Simplify right side
    105,092x = 53,186,968,129
  5. Step 5: Solve for x
    x = 53,186,968,129/105,092
  6. Step 6: Final answer
    x = 506,099.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.