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Finding the Third Proportional to 82,270,869 and 120,377,835

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Solution

The third proportional to 82,270,869 and 120,377,835 is: 176,135,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270,869 : 120,377,835 = 120,377,835 : x
  2. Step 2: Convert to fraction form
    82,270,869/120,377,835 = 120,377,835/x
  3. Step 3: Cross multiply
    82,270,869x = 120,377,835 × 120,377,835
  4. Step 4: Simplify right side
    82,270,869x = 14,490,823,159,287,224
  5. Step 5: Solve for x
    x = 14,490,823,159,287,224/82,270,869
  6. Step 6: Final answer
    x = 176,135,530.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.