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Finding the Third Proportional to 209,189,725 and 456,045,371

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Solution

The third proportional to 209,189,725 and 456,045,371 is: 994,204,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,725 : 456,045,371 = 456,045,371 : x
  2. Step 2: Convert to fraction form
    209,189,725/456,045,371 = 456,045,371/x
  3. Step 3: Cross multiply
    209,189,725x = 456,045,371 × 456,045,371
  4. Step 4: Simplify right side
    209,189,725x = 207,977,380,410,527,648
  5. Step 5: Solve for x
    x = 207,977,380,410,527,648/209,189,725
  6. Step 6: Final answer
    x = 994,204,569.13

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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.