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Finding the Third Proportional to 42,084,146 and 90,560,164

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Solution

The third proportional to 42,084,146 and 90,560,164 is: 194,874,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084,146 : 90,560,164 = 90,560,164 : x
  2. Step 2: Convert to fraction form
    42,084,146/90,560,164 = 90,560,164/x
  3. Step 3: Cross multiply
    42,084,146x = 90,560,164 × 90,560,164
  4. Step 4: Simplify right side
    42,084,146x = 8,201,143,303,706,896
  5. Step 5: Solve for x
    x = 8,201,143,303,706,896/42,084,146
  6. Step 6: Final answer
    x = 194,874,889.55

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