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Finding the Third Proportional to 42,100,148 and 90,697,144

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Solution

The third proportional to 42,100,148 and 90,697,144 is: 195,390,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,100,148 : 90,697,144 = 90,697,144 : x
  2. Step 2: Convert to fraction form
    42,100,148/90,697,144 = 90,697,144/x
  3. Step 3: Cross multiply
    42,100,148x = 90,697,144 × 90,697,144
  4. Step 4: Simplify right side
    42,100,148x = 8,225,971,929,756,736
  5. Step 5: Solve for x
    x = 8,225,971,929,756,736/42,100,148
  6. Step 6: Final answer
    x = 195,390,570.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.