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Finding the Third Proportional to 136,128,064 and 298,705,744

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Solution

The third proportional to 136,128,064 and 298,705,744 is: 655,449,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128,064 : 298,705,744 = 298,705,744 : x
  2. Step 2: Convert to fraction form
    136,128,064/298,705,744 = 298,705,744/x
  3. Step 3: Cross multiply
    136,128,064x = 298,705,744 × 298,705,744
  4. Step 4: Simplify right side
    136,128,064x = 89,225,121,498,593,536
  5. Step 5: Solve for x
    x = 89,225,121,498,593,536/136,128,064
  6. Step 6: Final answer
    x = 655,449,867.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.