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Finding the Third Proportional to 172,274,528 and 264,797,832

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Solution

The third proportional to 172,274,528 and 264,797,832 is: 407,012,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,274,528 : 264,797,832 = 264,797,832 : x
  2. Step 2: Convert to fraction form
    172,274,528/264,797,832 = 264,797,832/x
  3. Step 3: Cross multiply
    172,274,528x = 264,797,832 × 264,797,832
  4. Step 4: Simplify right side
    172,274,528x = 70,117,891,831,900,224
  5. Step 5: Solve for x
    x = 70,117,891,831,900,224/172,274,528
  6. Step 6: Final answer
    x = 407,012,531.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.