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Finding the Third Proportional to 45,421,213.50 and 99,635,343.75

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Solution

The third proportional to 45,421,213.50 and 99,635,343.75 is: 218,558,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,213.50 : 99,635,343.75 = 99,635,343.75 : x
  2. Step 2: Convert to fraction form
    45,421,213.50/99,635,343.75 = 99,635,343.75/x
  3. Step 3: Cross multiply
    45,421,213.50x = 99,635,343.75 × 99,635,343.75
  4. Step 4: Simplify right side
    45,421,213.50x = 9,927,201,724,180,664
  5. Step 5: Solve for x
    x = 9,927,201,724,180,664/45,421,213.50
  6. Step 6: Final answer
    x = 218,558,707.69

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