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Finding the Third Proportional to 151,048,047 and 233,244,619.50

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Solution

The third proportional to 151,048,047 and 233,244,619.50 is: 360,170,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,047 : 233,244,619.50 = 233,244,619.50 : x
  2. Step 2: Convert to fraction form
    151,048,047/233,244,619.50 = 233,244,619.50/x
  3. Step 3: Cross multiply
    151,048,047x = 233,244,619.50 × 233,244,619.50
  4. Step 4: Simplify right side
    151,048,047x = 54,403,052,525,699,784
  5. Step 5: Solve for x
    x = 54,403,052,525,699,784/151,048,047
  6. Step 6: Final answer
    x = 360,170,512.67

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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.