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Finding the Third Proportional to 45,421,215 and 99,635,346.75

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Solution

The third proportional to 45,421,215 and 99,635,346.75 is: 218,558,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,215 : 99,635,346.75 = 99,635,346.75 : x
  2. Step 2: Convert to fraction form
    45,421,215/99,635,346.75 = 99,635,346.75/x
  3. Step 3: Cross multiply
    45,421,215x = 99,635,346.75 × 99,635,346.75
  4. Step 4: Simplify right side
    45,421,215x = 9,927,202,321,992,736
  5. Step 5: Solve for x
    x = 9,927,202,321,992,736/45,421,215
  6. Step 6: Final answer
    x = 218,558,713.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.