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Finding the Third Proportional to 192,276,239,535 and 282,654,601,744.50

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Solution

The third proportional to 192,276,239,535 and 282,654,601,744.50 is: 415,514,803,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276,239,535 : 282,654,601,744.50 = 282,654,601,744.50 : x
  2. Step 2: Convert to fraction form
    192,276,239,535/282,654,601,744.50 = 282,654,601,744.50/x
  3. Step 3: Cross multiply
    192,276,239,535x = 282,654,601,744.50 × 282,654,601,744.50
  4. Step 4: Simplify right side
    192,276,239,535x = 79,893,623,887,341,899,743,232
  5. Step 5: Solve for x
    x = 79,893,623,887,341,899,743,232/192,276,239,535
  6. Step 6: Final answer
    x = 415,514,803,496.03

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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.