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Finding the Third Proportional to 201,391,596 and 433,771,612

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Solution

The third proportional to 201,391,596 and 433,771,612 is: 934,288,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,596 : 433,771,612 = 433,771,612 : x
  2. Step 2: Convert to fraction form
    201,391,596/433,771,612 = 433,771,612/x
  3. Step 3: Cross multiply
    201,391,596x = 433,771,612 × 433,771,612
  4. Step 4: Simplify right side
    201,391,596x = 188,157,811,377,078,528
  5. Step 5: Solve for x
    x = 188,157,811,377,078,528/201,391,596
  6. Step 6: Final answer
    x = 934,288,297.60

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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.