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Finding the Third Proportional to 137,056,287 and 299,227,824

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Solution

The third proportional to 137,056,287 and 299,227,824 is: 653,288,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056,287 : 299,227,824 = 299,227,824 : x
  2. Step 2: Convert to fraction form
    137,056,287/299,227,824 = 299,227,824/x
  3. Step 3: Cross multiply
    137,056,287x = 299,227,824 × 299,227,824
  4. Step 4: Simplify right side
    137,056,287x = 89,537,290,655,774,976
  5. Step 5: Solve for x
    x = 89,537,290,655,774,976/137,056,287
  6. Step 6: Final answer
    x = 653,288,459.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.