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Finding the Third Proportional to 88,729,407,796 and 209,248,578,016

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Solution

The third proportional to 88,729,407,796 and 209,248,578,016 is: 493,466,241,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,729,407,796 : 209,248,578,016 = 209,248,578,016 : x
  2. Step 2: Convert to fraction form
    88,729,407,796/209,248,578,016 = 209,248,578,016/x
  3. Step 3: Cross multiply
    88,729,407,796x = 209,248,578,016 × 209,248,578,016
  4. Step 4: Simplify right side
    88,729,407,796x = 43,784,967,401,718,039,969,792
  5. Step 5: Solve for x
    x = 43,784,967,401,718,039,969,792/88,729,407,796
  6. Step 6: Final answer
    x = 493,466,241,794.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.