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Finding the Third Proportional to 103,237.03 and 151,443.84

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Solution

The third proportional to 103,237.03 and 151,443.84 is: 222,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,237.03 : 151,443.84 = 151,443.84 : x
  2. Step 2: Convert to fraction form
    103,237.03/151,443.84 = 151,443.84/x
  3. Step 3: Cross multiply
    103,237.03x = 151,443.84 × 151,443.84
  4. Step 4: Simplify right side
    103,237.03x = 22,935,237,809.77
  5. Step 5: Solve for x
    x = 22,935,237,809.77/103,237.03
  6. Step 6: Final answer
    x = 222,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.