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Finding the Third Proportional to 103,430.25 and 153,201.38

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Solution

The third proportional to 103,430.25 and 153,201.38 is: 226,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,430.25 : 153,201.38 = 153,201.38 : x
  2. Step 2: Convert to fraction form
    103,430.25/153,201.38 = 153,201.38/x
  3. Step 3: Cross multiply
    103,430.25x = 153,201.38 × 153,201.38
  4. Step 4: Simplify right side
    103,430.25x = 23,470,661,301.89
  5. Step 5: Solve for x
    x = 23,470,661,301.89/103,430.25
  6. Step 6: Final answer
    x = 226,922.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.