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Finding the Third Proportional to 199,617,573 and 434,385,324

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Solution

The third proportional to 199,617,573 and 434,385,324 is: 945,260,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617,573 : 434,385,324 = 434,385,324 : x
  2. Step 2: Convert to fraction form
    199,617,573/434,385,324 = 434,385,324/x
  3. Step 3: Cross multiply
    199,617,573x = 434,385,324 × 434,385,324
  4. Step 4: Simplify right side
    199,617,573x = 188,690,609,706,584,960
  5. Step 5: Solve for x
    x = 188,690,609,706,584,960/199,617,573
  6. Step 6: Final answer
    x = 945,260,514.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.