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Finding the Third Proportional to 178,819,824 and 273,362,184

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Solution

The third proportional to 178,819,824 and 273,362,184 is: 417,889,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,819,824 : 273,362,184 = 273,362,184 : x
  2. Step 2: Convert to fraction form
    178,819,824/273,362,184 = 273,362,184/x
  3. Step 3: Cross multiply
    178,819,824x = 273,362,184 × 273,362,184
  4. Step 4: Simplify right side
    178,819,824x = 74,726,883,641,249,856
  5. Step 5: Solve for x
    x = 74,726,883,641,249,856/178,819,824
  6. Step 6: Final answer
    x = 417,889,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.