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Finding the Third Proportional to 255,168,272.25 and 556,520,274

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Solution

The third proportional to 255,168,272.25 and 556,520,274 is: 1,213,766,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,168,272.25 : 556,520,274 = 556,520,274 : x
  2. Step 2: Convert to fraction form
    255,168,272.25/556,520,274 = 556,520,274/x
  3. Step 3: Cross multiply
    255,168,272.25x = 556,520,274 × 556,520,274
  4. Step 4: Simplify right side
    255,168,272.25x = 309,714,815,373,035,072
  5. Step 5: Solve for x
    x = 309,714,815,373,035,072/255,168,272.25
  6. Step 6: Final answer
    x = 1,213,766,949.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.