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Finding the Third Proportional to 120,924,371.25 and 182,388,751.13

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Solution

The third proportional to 120,924,371.25 and 182,388,751.13 is: 275,094,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924,371.25 : 182,388,751.13 = 182,388,751.13 : x
  2. Step 2: Convert to fraction form
    120,924,371.25/182,388,751.13 = 182,388,751.13/x
  3. Step 3: Cross multiply
    120,924,371.25x = 182,388,751.13 × 182,388,751.13
  4. Step 4: Simplify right side
    120,924,371.25x = 33,265,656,536,937,188
  5. Step 5: Solve for x
    x = 33,265,656,536,937,188/120,924,371.25
  6. Step 6: Final answer
    x = 275,094,724.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.