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Finding the Third Proportional to 174,747,851 and 271,329,351

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Solution

The third proportional to 174,747,851 and 271,329,351 is: 421,290,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,747,851 : 271,329,351 = 271,329,351 : x
  2. Step 2: Convert to fraction form
    174,747,851/271,329,351 = 271,329,351/x
  3. Step 3: Cross multiply
    174,747,851x = 271,329,351 × 271,329,351
  4. Step 4: Simplify right side
    174,747,851x = 73,619,616,714,081,200
  5. Step 5: Solve for x
    x = 73,619,616,714,081,200/174,747,851
  6. Step 6: Final answer
    x = 421,290,541.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.