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Finding the Third Proportional to 136,259,223 and 295,518,030

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Solution

The third proportional to 136,259,223 and 295,518,030 is: 640,917,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,259,223 : 295,518,030 = 295,518,030 : x
  2. Step 2: Convert to fraction form
    136,259,223/295,518,030 = 295,518,030/x
  3. Step 3: Cross multiply
    136,259,223x = 295,518,030 × 295,518,030
  4. Step 4: Simplify right side
    136,259,223x = 87,330,906,055,080,896
  5. Step 5: Solve for x
    x = 87,330,906,055,080,896/136,259,223
  6. Step 6: Final answer
    x = 640,917,393.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.