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Finding the Third Proportional to 231,234,296.06 and 545,689,468.69

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Solution

The third proportional to 231,234,296.06 and 545,689,468.69 is: 1,287,771,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234,296.06 : 545,689,468.69 = 545,689,468.69 : x
  2. Step 2: Convert to fraction form
    231,234,296.06/545,689,468.69 = 545,689,468.69/x
  3. Step 3: Cross multiply
    231,234,296.06x = 545,689,468.69 × 545,689,468.69
  4. Step 4: Simplify right side
    231,234,296.06x = 297,776,996,236,446,016
  5. Step 5: Solve for x
    x = 297,776,996,236,446,016/231,234,296.06
  6. Step 6: Final answer
    x = 1,287,771,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.