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Finding the Third Proportional to 103,853,857.50 and 164,449,942.88

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Solution

The third proportional to 103,853,857.50 and 164,449,942.88 is: 260,402,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853,857.50 : 164,449,942.88 = 164,449,942.88 : x
  2. Step 2: Convert to fraction form
    103,853,857.50/164,449,942.88 = 164,449,942.88/x
  3. Step 3: Cross multiply
    103,853,857.50x = 164,449,942.88 × 164,449,942.88
  4. Step 4: Simplify right side
    103,853,857.50x = 27,043,783,711,590,764
  5. Step 5: Solve for x
    x = 27,043,783,711,590,764/103,853,857.50
  6. Step 6: Final answer
    x = 260,402,303.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.