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Finding the Third Proportional to 208,972,224 and 487,985,310

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Solution

The third proportional to 208,972,224 and 487,985,310 is: 1,139,527,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,972,224 : 487,985,310 = 487,985,310 : x
  2. Step 2: Convert to fraction form
    208,972,224/487,985,310 = 487,985,310/x
  3. Step 3: Cross multiply
    208,972,224x = 487,985,310 × 487,985,310
  4. Step 4: Simplify right side
    208,972,224x = 238,129,662,775,796,096
  5. Step 5: Solve for x
    x = 238,129,662,775,796,096/208,972,224
  6. Step 6: Final answer
    x = 1,139,527,819.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.