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Finding the Third Proportional to 201,391,563.50 and 433,771,545.50

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Solution

The third proportional to 201,391,563.50 and 433,771,545.50 is: 934,288,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,563.50 : 433,771,545.50 = 433,771,545.50 : x
  2. Step 2: Convert to fraction form
    201,391,563.50/433,771,545.50 = 433,771,545.50/x
  3. Step 3: Cross multiply
    201,391,563.50x = 433,771,545.50 × 433,771,545.50
  4. Step 4: Simplify right side
    201,391,563.50x = 188,157,753,685,458,560
  5. Step 5: Solve for x
    x = 188,157,753,685,458,560/201,391,563.50
  6. Step 6: Final answer
    x = 934,288,161.90

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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.