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Finding the Third Proportional to 236,512,242 and 505,710,250

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Solution

The third proportional to 236,512,242 and 505,710,250 is: 1,081,309,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,512,242 : 505,710,250 = 505,710,250 : x
  2. Step 2: Convert to fraction form
    236,512,242/505,710,250 = 505,710,250/x
  3. Step 3: Cross multiply
    236,512,242x = 505,710,250 × 505,710,250
  4. Step 4: Simplify right side
    236,512,242x = 255,742,856,955,062,496
  5. Step 5: Solve for x
    x = 255,742,856,955,062,496/236,512,242
  6. Step 6: Final answer
    x = 1,081,309,173.65

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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.