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Finding the Third Proportional to 98,280 and 148,233.38

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Solution

The third proportional to 98,280 and 148,233.38 is: 223,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,280 : 148,233.38 = 148,233.38 : x
  2. Step 2: Convert to fraction form
    98,280/148,233.38 = 148,233.38/x
  3. Step 3: Cross multiply
    98,280x = 148,233.38 × 148,233.38
  4. Step 4: Simplify right side
    98,280x = 21,973,133,463.89
  5. Step 5: Solve for x
    x = 21,973,133,463.89/98,280
  6. Step 6: Final answer
    x = 223,576.86

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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.