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Finding the Third Proportional to 83,196,634 and 185,512,490

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Solution

The third proportional to 83,196,634 and 185,512,490 is: 413,657,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196,634 : 185,512,490 = 185,512,490 : x
  2. Step 2: Convert to fraction form
    83,196,634/185,512,490 = 185,512,490/x
  3. Step 3: Cross multiply
    83,196,634x = 185,512,490 × 185,512,490
  4. Step 4: Simplify right side
    83,196,634x = 34,414,883,946,000,100
  5. Step 5: Solve for x
    x = 34,414,883,946,000,100/83,196,634
  6. Step 6: Final answer
    x = 413,657,167.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.