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Finding the Third Proportional to 96,394.50 and 148,263.75

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Solution

The third proportional to 96,394.50 and 148,263.75 is: 228,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394.50 : 148,263.75 = 148,263.75 : x
  2. Step 2: Convert to fraction form
    96,394.50/148,263.75 = 148,263.75/x
  3. Step 3: Cross multiply
    96,394.50x = 148,263.75 × 148,263.75
  4. Step 4: Simplify right side
    96,394.50x = 21,982,139,564.06
  5. Step 5: Solve for x
    x = 21,982,139,564.06/96,394.50
  6. Step 6: Final answer
    x = 228,043.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.