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Finding the Third Proportional to 132,850,275.75 and 289,876,812.75

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Solution

The third proportional to 132,850,275.75 and 289,876,812.75 is: 632,505,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,850,275.75 : 289,876,812.75 = 289,876,812.75 : x
  2. Step 2: Convert to fraction form
    132,850,275.75/289,876,812.75 = 289,876,812.75/x
  3. Step 3: Cross multiply
    132,850,275.75x = 289,876,812.75 × 289,876,812.75
  4. Step 4: Simplify right side
    132,850,275.75x = 84,028,566,570,098,560
  5. Step 5: Solve for x
    x = 84,028,566,570,098,560/132,850,275.75
  6. Step 6: Final answer
    x = 632,505,774.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.