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Finding the Third Proportional to 227,442,929.75 and 325,021,873.44

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Solution

The third proportional to 227,442,929.75 and 325,021,873.44 is: 464,464,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,442,929.75 : 325,021,873.44 = 325,021,873.44 : x
  2. Step 2: Convert to fraction form
    227,442,929.75/325,021,873.44 = 325,021,873.44/x
  3. Step 3: Cross multiply
    227,442,929.75x = 325,021,873.44 × 325,021,873.44
  4. Step 4: Simplify right side
    227,442,929.75x = 105,639,218,212,822,272
  5. Step 5: Solve for x
    x = 105,639,218,212,822,272/227,442,929.75
  6. Step 6: Final answer
    x = 464,464,726.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.