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Finding the Third Proportional to 137,197,184 and 285,685,120

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Solution

The third proportional to 137,197,184 and 285,685,120 is: 594,880,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197,184 : 285,685,120 = 285,685,120 : x
  2. Step 2: Convert to fraction form
    137,197,184/285,685,120 = 285,685,120/x
  3. Step 3: Cross multiply
    137,197,184x = 285,685,120 × 285,685,120
  4. Step 4: Simplify right side
    137,197,184x = 81,615,987,789,414,400
  5. Step 5: Solve for x
    x = 81,615,987,789,414,400/137,197,184
  6. Step 6: Final answer
    x = 594,880,925.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.