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Finding the Third Proportional to 71,835,138 and 109,546,209

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Solution

The third proportional to 71,835,138 and 109,546,209 is: 167,054,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835,138 : 109,546,209 = 109,546,209 : x
  2. Step 2: Convert to fraction form
    71,835,138/109,546,209 = 109,546,209/x
  3. Step 3: Cross multiply
    71,835,138x = 109,546,209 × 109,546,209
  4. Step 4: Simplify right side
    71,835,138x = 12,000,371,906,271,680
  5. Step 5: Solve for x
    x = 12,000,371,906,271,680/71,835,138
  6. Step 6: Final answer
    x = 167,054,344.72

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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.