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Finding the Third Proportional to 105,345 and 230,396.63

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Solution

The third proportional to 105,345 and 230,396.63 is: 503,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,345 : 230,396.63 = 230,396.63 : x
  2. Step 2: Convert to fraction form
    105,345/230,396.63 = 230,396.63/x
  3. Step 3: Cross multiply
    105,345x = 230,396.63 × 230,396.63
  4. Step 4: Simplify right side
    105,345x = 53,082,604,811.39
  5. Step 5: Solve for x
    x = 53,082,604,811.39/105,345
  6. Step 6: Final answer
    x = 503,892.97

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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.