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Finding the Third Proportional to 226,518,201 and 349,791,390.75

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Solution

The third proportional to 226,518,201 and 349,791,390.75 is: 540,150,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,518,201 : 349,791,390.75 = 349,791,390.75 : x
  2. Step 2: Convert to fraction form
    226,518,201/349,791,390.75 = 349,791,390.75/x
  3. Step 3: Cross multiply
    226,518,201x = 349,791,390.75 × 349,791,390.75
  4. Step 4: Simplify right side
    226,518,201x = 122,354,017,042,819,184
  5. Step 5: Solve for x
    x = 122,354,017,042,819,184/226,518,201
  6. Step 6: Final answer
    x = 540,150,930.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.