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Finding the Third Proportional to 201,391,633 and 433,771,689

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Solution

The third proportional to 201,391,633 and 433,771,689 is: 934,288,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,633 : 433,771,689 = 433,771,689 : x
  2. Step 2: Convert to fraction form
    201,391,633/433,771,689 = 433,771,689/x
  3. Step 3: Cross multiply
    201,391,633x = 433,771,689 × 433,771,689
  4. Step 4: Simplify right side
    201,391,633x = 188,157,878,177,912,736
  5. Step 5: Solve for x
    x = 188,157,878,177,912,736/201,391,633
  6. Step 6: Final answer
    x = 934,288,457.64

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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.