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Finding the Third Proportional to 137,355,984 and 298,567,728

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Solution

The third proportional to 137,355,984 and 298,567,728 is: 648,990,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355,984 : 298,567,728 = 298,567,728 : x
  2. Step 2: Convert to fraction form
    137,355,984/298,567,728 = 298,567,728/x
  3. Step 3: Cross multiply
    137,355,984x = 298,567,728 × 298,567,728
  4. Step 4: Simplify right side
    137,355,984x = 89,142,688,203,081,984
  5. Step 5: Solve for x
    x = 89,142,688,203,081,984/137,355,984
  6. Step 6: Final answer
    x = 648,990,204.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.