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Finding the Third Proportional to 103,383 and 140,308.03

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Solution

The third proportional to 103,383 and 140,308.03 is: 190,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,383 : 140,308.03 = 140,308.03 : x
  2. Step 2: Convert to fraction form
    103,383/140,308.03 = 140,308.03/x
  3. Step 3: Cross multiply
    103,383x = 140,308.03 × 140,308.03
  4. Step 4: Simplify right side
    103,383x = 19,686,343,633.25
  5. Step 5: Solve for x
    x = 19,686,343,633.25/103,383
  6. Step 6: Final answer
    x = 190,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.