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Finding the Third Proportional to 136,128,096 and 298,705,824

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Solution

The third proportional to 136,128,096 and 298,705,824 is: 655,450,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128,096 : 298,705,824 = 298,705,824 : x
  2. Step 2: Convert to fraction form
    136,128,096/298,705,824 = 298,705,824/x
  3. Step 3: Cross multiply
    136,128,096x = 298,705,824 × 298,705,824
  4. Step 4: Simplify right side
    136,128,096x = 89,225,169,291,518,976
  5. Step 5: Solve for x
    x = 89,225,169,291,518,976/136,128,096
  6. Step 6: Final answer
    x = 655,450,064.41

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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.