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Finding the Third Proportional to 173,316,400 and 380,639,824

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Solution

The third proportional to 173,316,400 and 380,639,824 is: 835,966,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,316,400 : 380,639,824 = 380,639,824 : x
  2. Step 2: Convert to fraction form
    173,316,400/380,639,824 = 380,639,824/x
  3. Step 3: Cross multiply
    173,316,400x = 380,639,824 × 380,639,824
  4. Step 4: Simplify right side
    173,316,400x = 144,886,675,614,750,976
  5. Step 5: Solve for x
    x = 144,886,675,614,750,976/173,316,400
  6. Step 6: Final answer
    x = 835,966,334.49

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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.