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Finding the Third Proportional to 236,512,235 and 505,710,238

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Solution

The third proportional to 236,512,235 and 505,710,238 is: 1,081,309,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,512,235 : 505,710,238 = 505,710,238 : x
  2. Step 2: Convert to fraction form
    236,512,235/505,710,238 = 505,710,238/x
  3. Step 3: Cross multiply
    236,512,235x = 505,710,238 × 505,710,238
  4. Step 4: Simplify right side
    236,512,235x = 255,742,844,818,016,640
  5. Step 5: Solve for x
    x = 255,742,844,818,016,640/236,512,235
  6. Step 6: Final answer
    x = 1,081,309,154.34

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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.