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Finding the Third Proportional to 271,587,344 and 555,725,148

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Solution

The third proportional to 271,587,344 and 555,725,148 is: 1,137,131,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,587,344 : 555,725,148 = 555,725,148 : x
  2. Step 2: Convert to fraction form
    271,587,344/555,725,148 = 555,725,148/x
  3. Step 3: Cross multiply
    271,587,344x = 555,725,148 × 555,725,148
  4. Step 4: Simplify right side
    271,587,344x = 308,830,440,119,621,888
  5. Step 5: Solve for x
    x = 308,830,440,119,621,888/271,587,344
  6. Step 6: Final answer
    x = 1,137,131,191.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.