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Finding the Third Proportional to 117,256,914 and 253,815,158

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Solution

The third proportional to 117,256,914 and 253,815,158 is: 549,410,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,256,914 : 253,815,158 = 253,815,158 : x
  2. Step 2: Convert to fraction form
    117,256,914/253,815,158 = 253,815,158/x
  3. Step 3: Cross multiply
    117,256,914x = 253,815,158 × 253,815,158
  4. Step 4: Simplify right side
    117,256,914x = 64,422,134,430,564,960
  5. Step 5: Solve for x
    x = 64,422,134,430,564,960/117,256,914
  6. Step 6: Final answer
    x = 549,410,113.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.