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Finding the Third Proportional to 82,841,751 and 180,228,219

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Solution

The third proportional to 82,841,751 and 180,228,219 is: 392,099,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841,751 : 180,228,219 = 180,228,219 : x
  2. Step 2: Convert to fraction form
    82,841,751/180,228,219 = 180,228,219/x
  3. Step 3: Cross multiply
    82,841,751x = 180,228,219 × 180,228,219
  4. Step 4: Simplify right side
    82,841,751x = 32,482,210,923,911,960
  5. Step 5: Solve for x
    x = 32,482,210,923,911,960/82,841,751
  6. Step 6: Final answer
    x = 392,099,521.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.