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Finding the Third Proportional to 65,176,932 and 141,563,949

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Solution

The third proportional to 65,176,932 and 141,563,949 is: 307,476,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176,932 : 141,563,949 = 141,563,949 : x
  2. Step 2: Convert to fraction form
    65,176,932/141,563,949 = 141,563,949/x
  3. Step 3: Cross multiply
    65,176,932x = 141,563,949 × 141,563,949
  4. Step 4: Simplify right side
    65,176,932x = 20,040,351,656,474,600
  5. Step 5: Solve for x
    x = 20,040,351,656,474,600/65,176,932
  6. Step 6: Final answer
    x = 307,476,142.89

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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.