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Finding the Third Proportional to 234,969,816 and 508,991,352

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Solution

The third proportional to 234,969,816 and 508,991,352 is: 1,102,576,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,969,816 : 508,991,352 = 508,991,352 : x
  2. Step 2: Convert to fraction form
    234,969,816/508,991,352 = 508,991,352/x
  3. Step 3: Cross multiply
    234,969,816x = 508,991,352 × 508,991,352
  4. Step 4: Simplify right side
    234,969,816x = 259,072,196,410,787,904
  5. Step 5: Solve for x
    x = 259,072,196,410,787,904/234,969,816
  6. Step 6: Final answer
    x = 1,102,576,496.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.