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Finding the Third Proportional to 129,998,061 and 264,536,196

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Solution

The third proportional to 129,998,061 and 264,536,196 is: 538,311,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,998,061 : 264,536,196 = 264,536,196 : x
  2. Step 2: Convert to fraction form
    129,998,061/264,536,196 = 264,536,196/x
  3. Step 3: Cross multiply
    129,998,061x = 264,536,196 × 264,536,196
  4. Step 4: Simplify right side
    129,998,061x = 69,979,398,994,150,416
  5. Step 5: Solve for x
    x = 69,979,398,994,150,416/129,998,061
  6. Step 6: Final answer
    x = 538,311,098.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.