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Finding the Third Proportional to 226,572,315.75 and 349,867,297.69

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Solution

The third proportional to 226,572,315.75 and 349,867,297.69 is: 540,256,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,315.75 : 349,867,297.69 = 349,867,297.69 : x
  2. Step 2: Convert to fraction form
    226,572,315.75/349,867,297.69 = 349,867,297.69/x
  3. Step 3: Cross multiply
    226,572,315.75x = 349,867,297.69 × 349,867,297.69
  4. Step 4: Simplify right side
    226,572,315.75x = 122,407,125,991,153,744
  5. Step 5: Solve for x
    x = 122,407,125,991,153,744/226,572,315.75
  6. Step 6: Final answer
    x = 540,256,322.08

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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.