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Finding the Third Proportional to 69,768.84 and 152,836.03

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Solution

The third proportional to 69,768.84 and 152,836.03 is: 334,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768.84 : 152,836.03 = 152,836.03 : x
  2. Step 2: Convert to fraction form
    69,768.84/152,836.03 = 152,836.03/x
  3. Step 3: Cross multiply
    69,768.84x = 152,836.03 × 152,836.03
  4. Step 4: Simplify right side
    69,768.84x = 23,358,852,448.25
  5. Step 5: Solve for x
    x = 23,358,852,448.25/69,768.84
  6. Step 6: Final answer
    x = 334,803.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.