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Finding the Third Proportional to 132,497,215.50 and 289,558,815

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Solution

The third proportional to 132,497,215.50 and 289,558,815 is: 632,800,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,497,215.50 : 289,558,815 = 289,558,815 : x
  2. Step 2: Convert to fraction form
    132,497,215.50/289,558,815 = 289,558,815/x
  3. Step 3: Cross multiply
    132,497,215.50x = 289,558,815 × 289,558,815
  4. Step 4: Simplify right side
    132,497,215.50x = 83,844,307,344,204,224
  5. Step 5: Solve for x
    x = 83,844,307,344,204,224/132,497,215.50
  6. Step 6: Final answer
    x = 632,800,523.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.