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Finding the Third Proportional to 89,458.77 and 192,929.07

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Solution

The third proportional to 89,458.77 and 192,929.07 is: 416,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,458.77 : 192,929.07 = 192,929.07 : x
  2. Step 2: Convert to fraction form
    89,458.77/192,929.07 = 192,929.07/x
  3. Step 3: Cross multiply
    89,458.77x = 192,929.07 × 192,929.07
  4. Step 4: Simplify right side
    89,458.77x = 37,221,624,852.80
  5. Step 5: Solve for x
    x = 37,221,624,852.80/89,458.77
  6. Step 6: Final answer
    x = 416,075.77

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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.