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Finding the Third Proportional to 236,512,233 and 505,710,234

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Solution

The third proportional to 236,512,233 and 505,710,234 is: 1,081,309,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,512,233 : 505,710,234 = 505,710,234 : x
  2. Step 2: Convert to fraction form
    236,512,233/505,710,234 = 505,710,234/x
  3. Step 3: Cross multiply
    236,512,233x = 505,710,234 × 505,710,234
  4. Step 4: Simplify right side
    236,512,233x = 255,742,840,772,334,752
  5. Step 5: Solve for x
    x = 255,742,840,772,334,752/236,512,233
  6. Step 6: Final answer
    x = 1,081,309,146.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.