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Finding the Third Proportional to 208,467,024 and 458,045,760

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Solution

The third proportional to 208,467,024 and 458,045,760 is: 1,006,422,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,467,024 : 458,045,760 = 458,045,760 : x
  2. Step 2: Convert to fraction form
    208,467,024/458,045,760 = 458,045,760/x
  3. Step 3: Cross multiply
    208,467,024x = 458,045,760 × 458,045,760
  4. Step 4: Simplify right side
    208,467,024x = 209,805,918,253,977,600
  5. Step 5: Solve for x
    x = 209,805,918,253,977,600/208,467,024
  6. Step 6: Final answer
    x = 1,006,422,570.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.