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Finding the Third Proportional to 83,196,630 and 185,512,482

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Solution

The third proportional to 83,196,630 and 185,512,482 is: 413,657,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,196,630 : 185,512,482 = 185,512,482 : x
  2. Step 2: Convert to fraction form
    83,196,630/185,512,482 = 185,512,482/x
  3. Step 3: Cross multiply
    83,196,630x = 185,512,482 × 185,512,482
  4. Step 4: Simplify right side
    83,196,630x = 34,414,880,977,800,324
  5. Step 5: Solve for x
    x = 34,414,880,977,800,324/83,196,630
  6. Step 6: Final answer
    x = 413,657,151.47

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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.