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Finding the Third Proportional to 107,209.03 and 228,284.25

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Solution

The third proportional to 107,209.03 and 228,284.25 is: 486,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.03 : 228,284.25 = 228,284.25 : x
  2. Step 2: Convert to fraction form
    107,209.03/228,284.25 = 228,284.25/x
  3. Step 3: Cross multiply
    107,209.03x = 228,284.25 × 228,284.25
  4. Step 4: Simplify right side
    107,209.03x = 52,113,698,798.06
  5. Step 5: Solve for x
    x = 52,113,698,798.06/107,209.03
  6. Step 6: Final answer
    x = 486,094.30

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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.