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Finding the Third Proportional to 103,570.31 and 226,909.69

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Solution

The third proportional to 103,570.31 and 226,909.69 is: 497,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,570.31 : 226,909.69 = 226,909.69 : x
  2. Step 2: Convert to fraction form
    103,570.31/226,909.69 = 226,909.69/x
  3. Step 3: Cross multiply
    103,570.31x = 226,909.69 × 226,909.69
  4. Step 4: Simplify right side
    103,570.31x = 51,488,006,281.35
  5. Step 5: Solve for x
    x = 51,488,006,281.35/103,570.31
  6. Step 6: Final answer
    x = 497,130.93

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