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Finding the Third Proportional to 258,500,187,704.23 and 565,696,144,352.95

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Solution

The third proportional to 258,500,187,704.23 and 565,696,144,352.95 is: 1,237,957,042,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,500,187,704.23 : 565,696,144,352.95 = 565,696,144,352.95 : x
  2. Step 2: Convert to fraction form
    258,500,187,704.23/565,696,144,352.95 = 565,696,144,352.95/x
  3. Step 3: Cross multiply
    258,500,187,704.23x = 565,696,144,352.95 × 565,696,144,352.95
  4. Step 4: Simplify right side
    258,500,187,704.23x = 320,012,127,735,793,611,440,128
  5. Step 5: Solve for x
    x = 320,012,127,735,793,611,440,128/258,500,187,704.23
  6. Step 6: Final answer
    x = 1,237,957,042,034.89

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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.