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Finding the Third Proportional to 192,276,239,712 and 282,654,601,982

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Solution

The third proportional to 192,276,239,712 and 282,654,601,982 is: 415,514,803,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276,239,712 : 282,654,601,982 = 282,654,601,982 : x
  2. Step 2: Convert to fraction form
    192,276,239,712/282,654,601,982 = 282,654,601,982/x
  3. Step 3: Cross multiply
    192,276,239,712x = 282,654,601,982 × 282,654,601,982
  4. Step 4: Simplify right side
    192,276,239,712x = 79,893,624,021,602,845,851,648
  5. Step 5: Solve for x
    x = 79,893,624,021,602,845,851,648/192,276,239,712
  6. Step 6: Final answer
    x = 415,514,803,811.80

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Why These Related Problems?

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