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Finding the Third Proportional to 45,905,463 and 96,991,881.75

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Solution

The third proportional to 45,905,463 and 96,991,881.75 is: 204,930,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905,463 : 96,991,881.75 = 96,991,881.75 : x
  2. Step 2: Convert to fraction form
    45,905,463/96,991,881.75 = 96,991,881.75/x
  3. Step 3: Cross multiply
    45,905,463x = 96,991,881.75 × 96,991,881.75
  4. Step 4: Simplify right side
    45,905,463x = 9,407,425,125,405,984
  5. Step 5: Solve for x
    x = 9,407,425,125,405,984/45,905,463
  6. Step 6: Final answer
    x = 204,930,405.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.