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Finding the Third Proportional to 96,830.44 and 148,017.38

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Solution

The third proportional to 96,830.44 and 148,017.38 is: 226,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,830.44 : 148,017.38 = 148,017.38 : x
  2. Step 2: Convert to fraction form
    96,830.44/148,017.38 = 148,017.38/x
  3. Step 3: Cross multiply
    96,830.44x = 148,017.38 × 148,017.38
  4. Step 4: Simplify right side
    96,830.44x = 21,909,143,301.89
  5. Step 5: Solve for x
    x = 21,909,143,301.89/96,830.44
  6. Step 6: Final answer
    x = 226,262.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.