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Finding the Third Proportional to 82,156,536 and 127,945,842

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Solution

The third proportional to 82,156,536 and 127,945,842 is: 199,255,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,536 : 127,945,842 = 127,945,842 : x
  2. Step 2: Convert to fraction form
    82,156,536/127,945,842 = 127,945,842/x
  3. Step 3: Cross multiply
    82,156,536x = 127,945,842 × 127,945,842
  4. Step 4: Simplify right side
    82,156,536x = 16,370,138,485,088,964
  5. Step 5: Solve for x
    x = 16,370,138,485,088,964/82,156,536
  6. Step 6: Final answer
    x = 199,255,461.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.