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Finding the Third Proportional to 136,259,225 and 295,518,034

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Solution

The third proportional to 136,259,225 and 295,518,034 is: 640,917,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,259,225 : 295,518,034 = 295,518,034 : x
  2. Step 2: Convert to fraction form
    136,259,225/295,518,034 = 295,518,034/x
  3. Step 3: Cross multiply
    136,259,225x = 295,518,034 × 295,518,034
  4. Step 4: Simplify right side
    136,259,225x = 87,330,908,419,225,152
  5. Step 5: Solve for x
    x = 87,330,908,419,225,152/136,259,225
  6. Step 6: Final answer
    x = 640,917,401.51

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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.