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Finding the Third Proportional to 201,771,814 and 434,489,354

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Solution

The third proportional to 201,771,814 and 434,489,354 is: 935,616,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771,814 : 434,489,354 = 434,489,354 : x
  2. Step 2: Convert to fraction form
    201,771,814/434,489,354 = 434,489,354/x
  3. Step 3: Cross multiply
    201,771,814x = 434,489,354 × 434,489,354
  4. Step 4: Simplify right side
    201,771,814x = 188,780,998,739,337,312
  5. Step 5: Solve for x
    x = 188,780,998,739,337,312/201,771,814
  6. Step 6: Final answer
    x = 935,616,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.