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Finding the Third Proportional to 153,100.13 and 238,033.69

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Solution

The third proportional to 153,100.13 and 238,033.69 is: 370,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,100.13 : 238,033.69 = 238,033.69 : x
  2. Step 2: Convert to fraction form
    153,100.13/238,033.69 = 238,033.69/x
  3. Step 3: Cross multiply
    153,100.13x = 238,033.69 × 238,033.69
  4. Step 4: Simplify right side
    153,100.13x = 56,660,036,384.85
  5. Step 5: Solve for x
    x = 56,660,036,384.85/153,100.13
  6. Step 6: Final answer
    x = 370,084.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.