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Finding the Third Proportional to 97,762.78 and 148,023.28

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Solution

The third proportional to 97,762.78 and 148,023.28 is: 224,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.78 : 148,023.28 = 148,023.28 : x
  2. Step 2: Convert to fraction form
    97,762.78/148,023.28 = 148,023.28/x
  3. Step 3: Cross multiply
    97,762.78x = 148,023.28 × 148,023.28
  4. Step 4: Simplify right side
    97,762.78x = 21,910,891,792.02
  5. Step 5: Solve for x
    x = 21,910,891,792.02/97,762.78
  6. Step 6: Final answer
    x = 224,123.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.