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Finding the Third Proportional to 82,881,865.13 and 180,467,812.13

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Solution

The third proportional to 82,881,865.13 and 180,467,812.13 is: 392,952,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881,865.13 : 180,467,812.13 = 180,467,812.13 : x
  2. Step 2: Convert to fraction form
    82,881,865.13/180,467,812.13 = 180,467,812.13/x
  3. Step 3: Cross multiply
    82,881,865.13x = 180,467,812.13 × 180,467,812.13
  4. Step 4: Simplify right side
    82,881,865.13x = 32,568,631,213,184,296
  5. Step 5: Solve for x
    x = 32,568,631,213,184,296/82,881,865.13
  6. Step 6: Final answer
    x = 392,952,440.97

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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.