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Finding the Third Proportional to 161,103,710,592 and 252,724,179,924

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Solution

The third proportional to 161,103,710,592 and 252,724,179,924 is: 396,449,658,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,103,710,592 : 252,724,179,924 = 252,724,179,924 : x
  2. Step 2: Convert to fraction form
    161,103,710,592/252,724,179,924 = 252,724,179,924/x
  3. Step 3: Cross multiply
    161,103,710,592x = 252,724,179,924 × 252,724,179,924
  4. Step 4: Simplify right side
    161,103,710,592x = 63,869,511,118,258,324,897,792
  5. Step 5: Solve for x
    x = 63,869,511,118,258,324,897,792/161,103,710,592
  6. Step 6: Final answer
    x = 396,449,658,940.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.