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Finding the Third Proportional to 98,256.38 and 148,199.63

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Solution

The third proportional to 98,256.38 and 148,199.63 is: 223,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,256.38 : 148,199.63 = 148,199.63 : x
  2. Step 2: Convert to fraction form
    98,256.38/148,199.63 = 148,199.63/x
  3. Step 3: Cross multiply
    98,256.38x = 148,199.63 × 148,199.63
  4. Step 4: Simplify right side
    98,256.38x = 21,963,128,850.14
  5. Step 5: Solve for x
    x = 21,963,128,850.14/98,256.38
  6. Step 6: Final answer
    x = 223,528.79

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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.