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Finding the Third Proportional to 105,284,658.75 and 227,216,292.75

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Solution

The third proportional to 105,284,658.75 and 227,216,292.75 is: 490,358,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,284,658.75 : 227,216,292.75 = 227,216,292.75 : x
  2. Step 2: Convert to fraction form
    105,284,658.75/227,216,292.75 = 227,216,292.75/x
  3. Step 3: Cross multiply
    105,284,658.75x = 227,216,292.75 × 227,216,292.75
  4. Step 4: Simplify right side
    105,284,658.75x = 51,627,243,691,053,704
  5. Step 5: Solve for x
    x = 51,627,243,691,053,704/105,284,658.75
  6. Step 6: Final answer
    x = 490,358,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.