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Finding the Third Proportional to 179,602,470 and 262,685,241

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Solution

The third proportional to 179,602,470 and 262,685,241 is: 384,201,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,602,470 : 262,685,241 = 262,685,241 : x
  2. Step 2: Convert to fraction form
    179,602,470/262,685,241 = 262,685,241/x
  3. Step 3: Cross multiply
    179,602,470x = 262,685,241 × 262,685,241
  4. Step 4: Simplify right side
    179,602,470x = 69,003,535,839,228,080
  5. Step 5: Solve for x
    x = 69,003,535,839,228,080/179,602,470
  6. Step 6: Final answer
    x = 384,201,485.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.