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Finding the Third Proportional to 107,070,824,200 and 160,181,720,344

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Solution

The third proportional to 107,070,824,200 and 160,181,720,344 is: 239,637,489,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,070,824,200 : 160,181,720,344 = 160,181,720,344 : x
  2. Step 2: Convert to fraction form
    107,070,824,200/160,181,720,344 = 160,181,720,344/x
  3. Step 3: Cross multiply
    107,070,824,200x = 160,181,720,344 × 160,181,720,344
  4. Step 4: Simplify right side
    107,070,824,200x = 25,658,183,532,363,422,629,888
  5. Step 5: Solve for x
    x = 25,658,183,532,363,422,629,888/107,070,824,200
  6. Step 6: Final answer
    x = 239,637,489,709.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.