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Finding the Third Proportional to 258,500,187,704.23 and 565,696,144,352.97

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Solution

The third proportional to 258,500,187,704.23 and 565,696,144,352.97 is: 1,237,957,042,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,500,187,704.23 : 565,696,144,352.97 = 565,696,144,352.97 : x
  2. Step 2: Convert to fraction form
    258,500,187,704.23/565,696,144,352.97 = 565,696,144,352.97/x
  3. Step 3: Cross multiply
    258,500,187,704.23x = 565,696,144,352.97 × 565,696,144,352.97
  4. Step 4: Simplify right side
    258,500,187,704.23x = 320,012,127,735,816,227,127,296
  5. Step 5: Solve for x
    x = 320,012,127,735,816,227,127,296/258,500,187,704.23
  6. Step 6: Final answer
    x = 1,237,957,042,034.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.