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Finding the Third Proportional to 145,636.03 and 196,763.63

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Solution

The third proportional to 145,636.03 and 196,763.63 is: 265,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,636.03 : 196,763.63 = 196,763.63 : x
  2. Step 2: Convert to fraction form
    145,636.03/196,763.63 = 196,763.63/x
  3. Step 3: Cross multiply
    145,636.03x = 196,763.63 × 196,763.63
  4. Step 4: Simplify right side
    145,636.03x = 38,715,924,123.14
  5. Step 5: Solve for x
    x = 38,715,924,123.14/145,636.03
  6. Step 6: Final answer
    x = 265,840.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.