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Finding the Third Proportional to 52,286,178 and 114,891,270

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Solution

The third proportional to 52,286,178 and 114,891,270 is: 252,456,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286,178 : 114,891,270 = 114,891,270 : x
  2. Step 2: Convert to fraction form
    52,286,178/114,891,270 = 114,891,270/x
  3. Step 3: Cross multiply
    52,286,178x = 114,891,270 × 114,891,270
  4. Step 4: Simplify right side
    52,286,178x = 13,200,003,922,212,900
  5. Step 5: Solve for x
    x = 13,200,003,922,212,900/52,286,178
  6. Step 6: Final answer
    x = 252,456,852.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.