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Finding the Third Proportional to 255,205,175 and 559,818,622

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Solution

The third proportional to 255,205,175 and 559,818,622 is: 1,228,019,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,175 : 559,818,622 = 559,818,622 : x
  2. Step 2: Convert to fraction form
    255,205,175/559,818,622 = 559,818,622/x
  3. Step 3: Cross multiply
    255,205,175x = 559,818,622 × 559,818,622
  4. Step 4: Simplify right side
    255,205,175x = 313,396,889,537,978,880
  5. Step 5: Solve for x
    x = 313,396,889,537,978,880/255,205,175
  6. Step 6: Final answer
    x = 1,228,019,335.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.