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Finding the Third Proportional to 88,036 and 190,098

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Solution

The third proportional to 88,036 and 190,098 is: 410,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,036 : 190,098 = 190,098 : x
  2. Step 2: Convert to fraction form
    88,036/190,098 = 190,098/x
  3. Step 3: Cross multiply
    88,036x = 190,098 × 190,098
  4. Step 4: Simplify right side
    88,036x = 36,137,249,604
  5. Step 5: Solve for x
    x = 36,137,249,604/88,036
  6. Step 6: Final answer
    x = 410,482.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.