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Finding the Third Proportional to 99,030.25 and 146,361.38

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Solution

The third proportional to 99,030.25 and 146,361.38 is: 216,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,030.25 : 146,361.38 = 146,361.38 : x
  2. Step 2: Convert to fraction form
    99,030.25/146,361.38 = 146,361.38/x
  3. Step 3: Cross multiply
    99,030.25x = 146,361.38 × 146,361.38
  4. Step 4: Simplify right side
    99,030.25x = 21,421,652,091.89
  5. Step 5: Solve for x
    x = 21,421,652,091.89/99,030.25
  6. Step 6: Final answer
    x = 216,314.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.