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Finding the Third Proportional to 100,176,116 and 151,052,513

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Solution

The third proportional to 100,176,116 and 151,052,513 is: 227,767,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,116 : 151,052,513 = 151,052,513 : x
  2. Step 2: Convert to fraction form
    100,176,116/151,052,513 = 151,052,513/x
  3. Step 3: Cross multiply
    100,176,116x = 151,052,513 × 151,052,513
  4. Step 4: Simplify right side
    100,176,116x = 22,816,861,683,615,168
  5. Step 5: Solve for x
    x = 22,816,861,683,615,168/100,176,116
  6. Step 6: Final answer
    x = 227,767,481.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.