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Finding the Third Proportional to 226,572,256 and 349,867,214.50

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Solution

The third proportional to 226,572,256 and 349,867,214.50 is: 540,256,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,256 : 349,867,214.50 = 349,867,214.50 : x
  2. Step 2: Convert to fraction form
    226,572,256/349,867,214.50 = 349,867,214.50/x
  3. Step 3: Cross multiply
    226,572,256x = 349,867,214.50 × 349,867,214.50
  4. Step 4: Simplify right side
    226,572,256x = 122,407,067,781,989,008
  5. Step 5: Solve for x
    x = 122,407,067,781,989,008/226,572,256
  6. Step 6: Final answer
    x = 540,256,207.64

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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.