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Finding the Third Proportional to 151,048,330.50 and 233,245,035

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Solution

The third proportional to 151,048,330.50 and 233,245,035 is: 360,171,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,330.50 : 233,245,035 = 233,245,035 : x
  2. Step 2: Convert to fraction form
    151,048,330.50/233,245,035 = 233,245,035/x
  3. Step 3: Cross multiply
    151,048,330.50x = 233,245,035 × 233,245,035
  4. Step 4: Simplify right side
    151,048,330.50x = 54,403,246,352,151,224
  5. Step 5: Solve for x
    x = 54,403,246,352,151,224/151,048,330.50
  6. Step 6: Final answer
    x = 360,171,119.88

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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.