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Finding the Third Proportional to 105,904,862 and 228,540,220

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Solution

The third proportional to 105,904,862 and 228,540,220 is: 493,184,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,904,862 : 228,540,220 = 228,540,220 : x
  2. Step 2: Convert to fraction form
    105,904,862/228,540,220 = 228,540,220/x
  3. Step 3: Cross multiply
    105,904,862x = 228,540,220 × 228,540,220
  4. Step 4: Simplify right side
    105,904,862x = 52,230,632,157,648,400
  5. Step 5: Solve for x
    x = 52,230,632,157,648,400/105,904,862
  6. Step 6: Final answer
    x = 493,184,459.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.