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Finding the Third Proportional to 114,023,633.63 and 248,947,845.38

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Solution

The third proportional to 114,023,633.63 and 248,947,845.38 is: 543,527,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,023,633.63 : 248,947,845.38 = 248,947,845.38 : x
  2. Step 2: Convert to fraction form
    114,023,633.63/248,947,845.38 = 248,947,845.38/x
  3. Step 3: Cross multiply
    114,023,633.63x = 248,947,845.38 × 248,947,845.38
  4. Step 4: Simplify right side
    114,023,633.63x = 61,975,029,716,854,912
  5. Step 5: Solve for x
    x = 61,975,029,716,854,912/114,023,633.63
  6. Step 6: Final answer
    x = 543,527,931.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.