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Finding the Third Proportional to 137,537,288 and 205,761,312

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Solution

The third proportional to 137,537,288 and 205,761,312 is: 307,827,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,537,288 : 205,761,312 = 205,761,312 : x
  2. Step 2: Convert to fraction form
    137,537,288/205,761,312 = 205,761,312/x
  3. Step 3: Cross multiply
    137,537,288x = 205,761,312 × 205,761,312
  4. Step 4: Simplify right side
    137,537,288x = 42,337,717,515,961,344
  5. Step 5: Solve for x
    x = 42,337,717,515,961,344/137,537,288
  6. Step 6: Final answer
    x = 307,827,194.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.