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Finding the Third Proportional to 133,548,174,135 and 288,016,464,186

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Solution

The third proportional to 133,548,174,135 and 288,016,464,186 is: 621,150,264,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548,174,135 : 288,016,464,186 = 288,016,464,186 : x
  2. Step 2: Convert to fraction form
    133,548,174,135/288,016,464,186 = 288,016,464,186/x
  3. Step 3: Cross multiply
    133,548,174,135x = 288,016,464,186 × 288,016,464,186
  4. Step 4: Simplify right side
    133,548,174,135x = 82,953,483,642,205,420,650,496
  5. Step 5: Solve for x
    x = 82,953,483,642,205,420,650,496/133,548,174,135
  6. Step 6: Final answer
    x = 621,150,264,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.