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Finding the Third Proportional to 135,164,004 and 209,386,710

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Solution

The third proportional to 135,164,004 and 209,386,710 is: 324,367,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,164,004 : 209,386,710 = 209,386,710 : x
  2. Step 2: Convert to fraction form
    135,164,004/209,386,710 = 209,386,710/x
  3. Step 3: Cross multiply
    135,164,004x = 209,386,710 × 209,386,710
  4. Step 4: Simplify right side
    135,164,004x = 43,842,794,324,624,096
  5. Step 5: Solve for x
    x = 43,842,794,324,624,096/135,164,004
  6. Step 6: Final answer
    x = 324,367,383.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.