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Finding the Third Proportional to 103,474,784 and 162,321,627

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Solution

The third proportional to 103,474,784 and 162,321,627 is: 254,635,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474,784 : 162,321,627 = 162,321,627 : x
  2. Step 2: Convert to fraction form
    103,474,784/162,321,627 = 162,321,627/x
  3. Step 3: Cross multiply
    103,474,784x = 162,321,627 × 162,321,627
  4. Step 4: Simplify right side
    103,474,784x = 26,348,310,591,927,128
  5. Step 5: Solve for x
    x = 26,348,310,591,927,128/103,474,784
  6. Step 6: Final answer
    x = 254,635,086.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.