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Finding the Third Proportional to 137,056,265 and 299,227,781

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Solution

The third proportional to 137,056,265 and 299,227,781 is: 653,288,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056,265 : 299,227,781 = 299,227,781 : x
  2. Step 2: Convert to fraction form
    137,056,265/299,227,781 = 299,227,781/x
  3. Step 3: Cross multiply
    137,056,265x = 299,227,781 × 299,227,781
  4. Step 4: Simplify right side
    137,056,265x = 89,537,264,922,183,968
  5. Step 5: Solve for x
    x = 89,537,264,922,183,968/137,056,265
  6. Step 6: Final answer
    x = 653,288,377.02

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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.