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Finding the Third Proportional to 173,151,438 and 380,932,563

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Solution

The third proportional to 173,151,438 and 380,932,563 is: 838,050,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,151,438 : 380,932,563 = 380,932,563 : x
  2. Step 2: Convert to fraction form
    173,151,438/380,932,563 = 380,932,563/x
  3. Step 3: Cross multiply
    173,151,438x = 380,932,563 × 380,932,563
  4. Step 4: Simplify right side
    173,151,438x = 145,109,617,553,748,960
  5. Step 5: Solve for x
    x = 145,109,617,553,748,960/173,151,438
  6. Step 6: Final answer
    x = 838,050,317.28

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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.