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Finding the Third Proportional to 89,416,028,880 and 181,459,502,064

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Solution

The third proportional to 89,416,028,880 and 181,459,502,064 is: 368,251,098,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,416,028,880 : 181,459,502,064 = 181,459,502,064 : x
  2. Step 2: Convert to fraction form
    89,416,028,880/181,459,502,064 = 181,459,502,064/x
  3. Step 3: Cross multiply
    89,416,028,880x = 181,459,502,064 × 181,459,502,064
  4. Step 4: Simplify right side
    89,416,028,880x = 32,927,550,889,314,819,768,320
  5. Step 5: Solve for x
    x = 32,927,550,889,314,819,768,320/89,416,028,880
  6. Step 6: Final answer
    x = 368,251,098,843.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.