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Finding the Third Proportional to 251,599,696 and 538,176,112

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Solution

The third proportional to 251,599,696 and 538,176,112 is: 1,151,168,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,599,696 : 538,176,112 = 538,176,112 : x
  2. Step 2: Convert to fraction form
    251,599,696/538,176,112 = 538,176,112/x
  3. Step 3: Cross multiply
    251,599,696x = 538,176,112 × 538,176,112
  4. Step 4: Simplify right side
    251,599,696x = 289,633,527,527,436,544
  5. Step 5: Solve for x
    x = 289,633,527,527,436,544/251,599,696
  6. Step 6: Final answer
    x = 1,151,168,034.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.