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Finding the Third Proportional to 107,026.31 and 228,302.30

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Solution

The third proportional to 107,026.31 and 228,302.30 is: 487,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,026.31 : 228,302.30 = 228,302.30 : x
  2. Step 2: Convert to fraction form
    107,026.31/228,302.30 = 228,302.30/x
  3. Step 3: Cross multiply
    107,026.31x = 228,302.30 × 228,302.30
  4. Step 4: Simplify right side
    107,026.31x = 52,121,938,758.40
  5. Step 5: Solve for x
    x = 52,121,938,758.40/107,026.31
  6. Step 6: Final answer
    x = 487,001.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.