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Finding the Third Proportional to 77,051,171 and 105,655,876

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Solution

The third proportional to 77,051,171 and 105,655,876 is: 144,879,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051,171 : 105,655,876 = 105,655,876 : x
  2. Step 2: Convert to fraction form
    77,051,171/105,655,876 = 105,655,876/x
  3. Step 3: Cross multiply
    77,051,171x = 105,655,876 × 105,655,876
  4. Step 4: Simplify right side
    77,051,171x = 11,163,164,133,327,376
  5. Step 5: Solve for x
    x = 11,163,164,133,327,376/77,051,171
  6. Step 6: Final answer
    x = 144,879,876.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.