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Finding the Third Proportional to 89,416,028,878 and 181,459,502,060

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Solution

The third proportional to 89,416,028,878 and 181,459,502,060 is: 368,251,098,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,416,028,878 : 181,459,502,060 = 181,459,502,060 : x
  2. Step 2: Convert to fraction form
    89,416,028,878/181,459,502,060 = 181,459,502,060/x
  3. Step 3: Cross multiply
    89,416,028,878x = 181,459,502,060 × 181,459,502,060
  4. Step 4: Simplify right side
    89,416,028,878x = 32,927,550,887,863,145,988,096
  5. Step 5: Solve for x
    x = 32,927,550,887,863,145,988,096/89,416,028,878
  6. Step 6: Final answer
    x = 368,251,098,835.87

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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.