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Finding the Third Proportional to 117,832,424,872.50 and 258,477,814,161

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Solution

The third proportional to 117,832,424,872.50 and 258,477,814,161 is: 566,998,264,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832,424,872.50 : 258,477,814,161 = 258,477,814,161 : x
  2. Step 2: Convert to fraction form
    117,832,424,872.50/258,477,814,161 = 258,477,814,161/x
  3. Step 3: Cross multiply
    117,832,424,872.50x = 258,477,814,161 × 258,477,814,161
  4. Step 4: Simplify right side
    117,832,424,872.50x = 66,810,780,413,448,450,736,128
  5. Step 5: Solve for x
    x = 66,810,780,413,448,450,736,128/117,832,424,872.50
  6. Step 6: Final answer
    x = 566,998,264,575.65

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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.