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Finding the Third Proportional to 151,048,201.50 and 233,244,858

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Solution

The third proportional to 151,048,201.50 and 233,244,858 is: 360,170,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,201.50 : 233,244,858 = 233,244,858 : x
  2. Step 2: Convert to fraction form
    151,048,201.50/233,244,858 = 233,244,858/x
  3. Step 3: Cross multiply
    151,048,201.50x = 233,244,858 × 233,244,858
  4. Step 4: Simplify right side
    151,048,201.50x = 54,403,163,783,440,160
  5. Step 5: Solve for x
    x = 54,403,163,783,440,160/151,048,201.50
  6. Step 6: Final answer
    x = 360,170,880.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.