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Finding the Third Proportional to 209,189,741 and 456,045,416

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Solution

The third proportional to 209,189,741 and 456,045,416 is: 994,204,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,741 : 456,045,416 = 456,045,416 : x
  2. Step 2: Convert to fraction form
    209,189,741/456,045,416 = 456,045,416/x
  3. Step 3: Cross multiply
    209,189,741x = 456,045,416 × 456,045,416
  4. Step 4: Simplify right side
    209,189,741x = 207,977,421,454,613,056
  5. Step 5: Solve for x
    x = 207,977,421,454,613,056/209,189,741
  6. Step 6: Final answer
    x = 994,204,689.30

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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.