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Finding the Third Proportional to 114,848,896.88 and 176,531,003.06

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Solution

The third proportional to 114,848,896.88 and 176,531,003.06 is: 271,340,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,896.88 : 176,531,003.06 = 176,531,003.06 : x
  2. Step 2: Convert to fraction form
    114,848,896.88/176,531,003.06 = 176,531,003.06/x
  3. Step 3: Cross multiply
    114,848,896.88x = 176,531,003.06 × 176,531,003.06
  4. Step 4: Simplify right side
    114,848,896.88x = 31,163,195,042,252,384
  5. Step 5: Solve for x
    x = 31,163,195,042,252,384/114,848,896.88
  6. Step 6: Final answer
    x = 271,340,830.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.