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Finding the Third Proportional to 103,975,925 and 225,290,035

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Solution

The third proportional to 103,975,925 and 225,290,035 is: 488,147,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975,925 : 225,290,035 = 225,290,035 : x
  2. Step 2: Convert to fraction form
    103,975,925/225,290,035 = 225,290,035/x
  3. Step 3: Cross multiply
    103,975,925x = 225,290,035 × 225,290,035
  4. Step 4: Simplify right side
    103,975,925x = 50,755,599,870,301,224
  5. Step 5: Solve for x
    x = 50,755,599,870,301,224/103,975,925
  6. Step 6: Final answer
    x = 488,147,615.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.