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Finding the Third Proportional to 96,685,436,210 and 208,064,157,562

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Solution

The third proportional to 96,685,436,210 and 208,064,157,562 is: 447,747,823,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,685,436,210 : 208,064,157,562 = 208,064,157,562 : x
  2. Step 2: Convert to fraction form
    96,685,436,210/208,064,157,562 = 208,064,157,562/x
  3. Step 3: Cross multiply
    96,685,436,210x = 208,064,157,562 × 208,064,157,562
  4. Step 4: Simplify right side
    96,685,436,210x = 43,290,693,661,984,760,528,896
  5. Step 5: Solve for x
    x = 43,290,693,661,984,760,528,896/96,685,436,210
  6. Step 6: Final answer
    x = 447,747,823,860.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.