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Finding the Third Proportional to 131,233,257 and 287,182,530

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Solution

The third proportional to 131,233,257 and 287,182,530 is: 628,452,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,233,257 : 287,182,530 = 287,182,530 : x
  2. Step 2: Convert to fraction form
    131,233,257/287,182,530 = 287,182,530/x
  3. Step 3: Cross multiply
    131,233,257x = 287,182,530 × 287,182,530
  4. Step 4: Simplify right side
    131,233,257x = 82,473,805,537,200,896
  5. Step 5: Solve for x
    x = 82,473,805,537,200,896/131,233,257
  6. Step 6: Final answer
    x = 628,452,020.64

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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.