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Finding the Third Proportional to 86,336 and 190,048

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Solution

The third proportional to 86,336 and 190,048 is: 418,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336 : 190,048 = 190,048 : x
  2. Step 2: Convert to fraction form
    86,336/190,048 = 190,048/x
  3. Step 3: Cross multiply
    86,336x = 190,048 × 190,048
  4. Step 4: Simplify right side
    86,336x = 36,118,242,304
  5. Step 5: Solve for x
    x = 36,118,242,304/86,336
  6. Step 6: Final answer
    x = 418,345.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.