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Finding the Third Proportional to 233,150,442.75 and 502,619,712.75

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Solution

The third proportional to 233,150,442.75 and 502,619,712.75 is: 1,083,534,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,442.75 : 502,619,712.75 = 502,619,712.75 : x
  2. Step 2: Convert to fraction form
    233,150,442.75/502,619,712.75 = 502,619,712.75/x
  3. Step 3: Cross multiply
    233,150,442.75x = 502,619,712.75 × 502,619,712.75
  4. Step 4: Simplify right side
    233,150,442.75x = 252,626,575,644,892,512
  5. Step 5: Solve for x
    x = 252,626,575,644,892,512/233,150,442.75
  6. Step 6: Final answer
    x = 1,083,534,616.81

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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.