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Finding the Third Proportional to 77,051,177 and 105,655,885

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Solution

The third proportional to 77,051,177 and 105,655,885 is: 144,879,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051,177 : 105,655,885 = 105,655,885 : x
  2. Step 2: Convert to fraction form
    77,051,177/105,655,885 = 105,655,885/x
  3. Step 3: Cross multiply
    77,051,177x = 105,655,885 × 105,655,885
  4. Step 4: Simplify right side
    77,051,177x = 11,163,166,035,133,224
  5. Step 5: Solve for x
    x = 11,163,166,035,133,224/77,051,177
  6. Step 6: Final answer
    x = 144,879,889.83

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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.