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Finding the Third Proportional to 82,963,818 and 119,512,179

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Solution

The third proportional to 82,963,818 and 119,512,179 is: 172,161,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963,818 : 119,512,179 = 119,512,179 : x
  2. Step 2: Convert to fraction form
    82,963,818/119,512,179 = 119,512,179/x
  3. Step 3: Cross multiply
    82,963,818x = 119,512,179 × 119,512,179
  4. Step 4: Simplify right side
    82,963,818x = 14,283,160,929,328,040
  5. Step 5: Solve for x
    x = 14,283,160,929,328,040/82,963,818
  6. Step 6: Final answer
    x = 172,161,326.15

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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.