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Finding the Third Proportional to 82,642,842 and 180,166,052.25

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Solution

The third proportional to 82,642,842 and 180,166,052.25 is: 392,772,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642,842 : 180,166,052.25 = 180,166,052.25 : x
  2. Step 2: Convert to fraction form
    82,642,842/180,166,052.25 = 180,166,052.25/x
  3. Step 3: Cross multiply
    82,642,842x = 180,166,052.25 × 180,166,052.25
  4. Step 4: Simplify right side
    82,642,842x = 32,459,806,383,349,732
  5. Step 5: Solve for x
    x = 32,459,806,383,349,732/82,642,842
  6. Step 6: Final answer
    x = 392,772,145.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.