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Finding the Third Proportional to 209,189,755 and 456,045,441

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Solution

The third proportional to 209,189,755 and 456,045,441 is: 994,204,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,755 : 456,045,441 = 456,045,441 : x
  2. Step 2: Convert to fraction form
    209,189,755/456,045,441 = 456,045,441/x
  3. Step 3: Cross multiply
    209,189,755x = 456,045,441 × 456,045,441
  4. Step 4: Simplify right side
    209,189,755x = 207,977,444,256,884,480
  5. Step 5: Solve for x
    x = 207,977,444,256,884,480/209,189,755
  6. Step 6: Final answer
    x = 994,204,731.76

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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.