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Finding the Third Proportional to 105,705 and 228,033

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Solution

The third proportional to 105,705 and 228,033 is: 491,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,705 : 228,033 = 228,033 : x
  2. Step 2: Convert to fraction form
    105,705/228,033 = 228,033/x
  3. Step 3: Cross multiply
    105,705x = 228,033 × 228,033
  4. Step 4: Simplify right side
    105,705x = 51,999,049,089
  5. Step 5: Solve for x
    x = 51,999,049,089/105,705
  6. Step 6: Final answer
    x = 491,926.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.