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Finding the Third Proportional to 229,797,650 and 491,875,406

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Solution

The third proportional to 229,797,650 and 491,875,406 is: 1,052,845,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,797,650 : 491,875,406 = 491,875,406 : x
  2. Step 2: Convert to fraction form
    229,797,650/491,875,406 = 491,875,406/x
  3. Step 3: Cross multiply
    229,797,650x = 491,875,406 × 491,875,406
  4. Step 4: Simplify right side
    229,797,650x = 241,941,415,027,664,832
  5. Step 5: Solve for x
    x = 241,941,415,027,664,832/229,797,650
  6. Step 6: Final answer
    x = 1,052,845,470.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.