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Finding the Third Proportional to 85,309,465.50 and 183,759,642

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Solution

The third proportional to 85,309,465.50 and 183,759,642 is: 395,824,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309,465.50 : 183,759,642 = 183,759,642 : x
  2. Step 2: Convert to fraction form
    85,309,465.50/183,759,642 = 183,759,642/x
  3. Step 3: Cross multiply
    85,309,465.50x = 183,759,642 × 183,759,642
  4. Step 4: Simplify right side
    85,309,465.50x = 33,767,606,027,968,164
  5. Step 5: Solve for x
    x = 33,767,606,027,968,164/85,309,465.50
  6. Step 6: Final answer
    x = 395,824,845.81

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Why These Related Problems?

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