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Finding the Third Proportional to 260,913,206 and 559,175,349.25

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Solution

The third proportional to 260,913,206 and 559,175,349.25 is: 1,198,394,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,206 : 559,175,349.25 = 559,175,349.25 : x
  2. Step 2: Convert to fraction form
    260,913,206/559,175,349.25 = 559,175,349.25/x
  3. Step 3: Cross multiply
    260,913,206x = 559,175,349.25 × 559,175,349.25
  4. Step 4: Simplify right side
    260,913,206x = 312,677,071,208,859,456
  5. Step 5: Solve for x
    x = 312,677,071,208,859,456/260,913,206
  6. Step 6: Final answer
    x = 1,198,394,960.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.