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Finding the Third Proportional to 88,822 and 190,306

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Solution

The third proportional to 88,822 and 190,306 is: 407,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,822 : 190,306 = 190,306 : x
  2. Step 2: Convert to fraction form
    88,822/190,306 = 190,306/x
  3. Step 3: Cross multiply
    88,822x = 190,306 × 190,306
  4. Step 4: Simplify right side
    88,822x = 36,216,373,636
  5. Step 5: Solve for x
    x = 36,216,373,636/88,822
  6. Step 6: Final answer
    x = 407,741.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.