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Finding the Third Proportional to 173,716,272 and 381,861,432

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Solution

The third proportional to 173,716,272 and 381,861,432 is: 839,404,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,716,272 : 381,861,432 = 381,861,432 : x
  2. Step 2: Convert to fraction form
    173,716,272/381,861,432 = 381,861,432/x
  3. Step 3: Cross multiply
    173,716,272x = 381,861,432 × 381,861,432
  4. Step 4: Simplify right side
    173,716,272x = 145,818,153,249,090,624
  5. Step 5: Solve for x
    x = 145,818,153,249,090,624/173,716,272
  6. Step 6: Final answer
    x = 839,404,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.