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Finding the Third Proportional to 44,233,497,903 and 97,483,191,353

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Solution

The third proportional to 44,233,497,903 and 97,483,191,353 is: 214,836,561,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,233,497,903 : 97,483,191,353 = 97,483,191,353 : x
  2. Step 2: Convert to fraction form
    44,233,497,903/97,483,191,353 = 97,483,191,353/x
  3. Step 3: Cross multiply
    44,233,497,903x = 97,483,191,353 × 97,483,191,353
  4. Step 4: Simplify right side
    44,233,497,903x = 9,502,972,596,365,614,383,104
  5. Step 5: Solve for x
    x = 9,502,972,596,365,614,383,104/44,233,497,903
  6. Step 6: Final answer
    x = 214,836,561,585.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.