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Finding the Third Proportional to 104,412,642.47 and 228,903,790.22

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Solution

The third proportional to 104,412,642.47 and 228,903,790.22 is: 501,825,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,412,642.47 : 228,903,790.22 = 228,903,790.22 : x
  2. Step 2: Convert to fraction form
    104,412,642.47/228,903,790.22 = 228,903,790.22/x
  3. Step 3: Cross multiply
    104,412,642.47x = 228,903,790.22 × 228,903,790.22
  4. Step 4: Simplify right side
    104,412,642.47x = 52,396,945,176,514,096
  5. Step 5: Solve for x
    x = 52,396,945,176,514,096/104,412,642.47
  6. Step 6: Final answer
    x = 501,825,678.75

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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.