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Finding the Third Proportional to 71,835,146 and 109,546,221

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Solution

The third proportional to 71,835,146 and 109,546,221 is: 167,054,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835,146 : 109,546,221 = 109,546,221 : x
  2. Step 2: Convert to fraction form
    71,835,146/109,546,221 = 109,546,221/x
  3. Step 3: Cross multiply
    71,835,146x = 109,546,221 × 109,546,221
  4. Step 4: Simplify right side
    71,835,146x = 12,000,374,535,380,840
  5. Step 5: Solve for x
    x = 12,000,374,535,380,840/71,835,146
  6. Step 6: Final answer
    x = 167,054,362.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.