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Finding the Third Proportional to 137,753,175 and 299,719,350

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Solution

The third proportional to 137,753,175 and 299,719,350 is: 652,120,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,753,175 : 299,719,350 = 299,719,350 : x
  2. Step 2: Convert to fraction form
    137,753,175/299,719,350 = 299,719,350/x
  3. Step 3: Cross multiply
    137,753,175x = 299,719,350 × 299,719,350
  4. Step 4: Simplify right side
    137,753,175x = 89,831,688,764,422,496
  5. Step 5: Solve for x
    x = 89,831,688,764,422,496/137,753,175
  6. Step 6: Final answer
    x = 652,120,640.88

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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.