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Finding the Third Proportional to 192,276,239,692.50 and 282,654,601,953.75

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Solution

The third proportional to 192,276,239,692.50 and 282,654,601,953.75 is: 415,514,803,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276,239,692.50 : 282,654,601,953.75 = 282,654,601,953.75 : x
  2. Step 2: Convert to fraction form
    192,276,239,692.50/282,654,601,953.75 = 282,654,601,953.75/x
  3. Step 3: Cross multiply
    192,276,239,692.50x = 282,654,601,953.75 × 282,654,601,953.75
  4. Step 4: Simplify right side
    192,276,239,692.50x = 79,893,624,005,632,848,822,272
  5. Step 5: Solve for x
    x = 79,893,624,005,632,848,822,272/192,276,239,692.50
  6. Step 6: Final answer
    x = 415,514,803,770.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.