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Finding the Third Proportional to 71,550,858 and 154,431,380

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Solution

The third proportional to 71,550,858 and 154,431,380 is: 333,316,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,550,858 : 154,431,380 = 154,431,380 : x
  2. Step 2: Convert to fraction form
    71,550,858/154,431,380 = 154,431,380/x
  3. Step 3: Cross multiply
    71,550,858x = 154,431,380 × 154,431,380
  4. Step 4: Simplify right side
    71,550,858x = 23,849,051,128,704,400
  5. Step 5: Solve for x
    x = 23,849,051,128,704,400/71,550,858
  6. Step 6: Final answer
    x = 333,316,074.68

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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.