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Finding the Third Proportional to 209,189,734 and 456,045,391

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Solution

The third proportional to 209,189,734 and 456,045,391 is: 994,204,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,734 : 456,045,391 = 456,045,391 : x
  2. Step 2: Convert to fraction form
    209,189,734/456,045,391 = 456,045,391/x
  3. Step 3: Cross multiply
    209,189,734x = 456,045,391 × 456,045,391
  4. Step 4: Simplify right side
    209,189,734x = 207,977,398,652,342,880
  5. Step 5: Solve for x
    x = 207,977,398,652,342,880/209,189,734
  6. Step 6: Final answer
    x = 994,204,613.56

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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.