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Finding the Third Proportional to 82,963,830 and 119,512,194

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Solution

The third proportional to 82,963,830 and 119,512,194 is: 172,161,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963,830 : 119,512,194 = 119,512,194 : x
  2. Step 2: Convert to fraction form
    82,963,830/119,512,194 = 119,512,194/x
  3. Step 3: Cross multiply
    82,963,830x = 119,512,194 × 119,512,194
  4. Step 4: Simplify right side
    82,963,830x = 14,283,164,514,693,636
  5. Step 5: Solve for x
    x = 14,283,164,514,693,636/82,963,830
  6. Step 6: Final answer
    x = 172,161,344.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.