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Finding the Third Proportional to 70,083,144 and 152,776,940.06

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Solution

The third proportional to 70,083,144 and 152,776,940.06 is: 333,044,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083,144 : 152,776,940.06 = 152,776,940.06 : x
  2. Step 2: Convert to fraction form
    70,083,144/152,776,940.06 = 152,776,940.06/x
  3. Step 3: Cross multiply
    70,083,144x = 152,776,940.06 × 152,776,940.06
  4. Step 4: Simplify right side
    70,083,144x = 23,340,793,414,860,716
  5. Step 5: Solve for x
    x = 23,340,793,414,860,716/70,083,144
  6. Step 6: Final answer
    x = 333,044,325.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.