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Finding the Third Proportional to 263,172,194 and 570,276,820

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Solution

The third proportional to 263,172,194 and 570,276,820 is: 1,235,752,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,172,194 : 570,276,820 = 570,276,820 : x
  2. Step 2: Convert to fraction form
    263,172,194/570,276,820 = 570,276,820/x
  3. Step 3: Cross multiply
    263,172,194x = 570,276,820 × 570,276,820
  4. Step 4: Simplify right side
    263,172,194x = 325,215,651,429,312,384
  5. Step 5: Solve for x
    x = 325,215,651,429,312,384/263,172,194
  6. Step 6: Final answer
    x = 1,235,752,328.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.