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Finding the Third Proportional to 100,283.06 and 146,255.63

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Solution

The third proportional to 100,283.06 and 146,255.63 is: 213,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.06 : 146,255.63 = 146,255.63 : x
  2. Step 2: Convert to fraction form
    100,283.06/146,255.63 = 146,255.63/x
  3. Step 3: Cross multiply
    100,283.06x = 146,255.63 × 146,255.63
  4. Step 4: Simplify right side
    100,283.06x = 21,390,707,844.14
  5. Step 5: Solve for x
    x = 21,390,707,844.14/100,283.06
  6. Step 6: Final answer
    x = 213,303.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.