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Finding the Third Proportional to 88,021.88 and 190,075.13

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Solution

The third proportional to 88,021.88 and 190,075.13 is: 410,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,021.88 : 190,075.13 = 190,075.13 : x
  2. Step 2: Convert to fraction form
    88,021.88/190,075.13 = 190,075.13/x
  3. Step 3: Cross multiply
    88,021.88x = 190,075.13 × 190,075.13
  4. Step 4: Simplify right side
    88,021.88x = 36,128,553,143.77
  5. Step 5: Solve for x
    x = 36,128,553,143.77/88,021.88
  6. Step 6: Final answer
    x = 410,449.71

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