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Finding the Third Proportional to 102,723,045.75 and 227,594,569.50

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Solution

The third proportional to 102,723,045.75 and 227,594,569.50 is: 504,261,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,723,045.75 : 227,594,569.50 = 227,594,569.50 : x
  2. Step 2: Convert to fraction form
    102,723,045.75/227,594,569.50 = 227,594,569.50/x
  3. Step 3: Cross multiply
    102,723,045.75x = 227,594,569.50 × 227,594,569.50
  4. Step 4: Simplify right side
    102,723,045.75x = 51,799,288,065,890,328
  5. Step 5: Solve for x
    x = 51,799,288,065,890,328/102,723,045.75
  6. Step 6: Final answer
    x = 504,261,606.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.