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Finding the Third Proportional to 191,918,928 and 417,914,016

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Solution

The third proportional to 191,918,928 and 417,914,016 is: 910,030,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918,928 : 417,914,016 = 417,914,016 : x
  2. Step 2: Convert to fraction form
    191,918,928/417,914,016 = 417,914,016/x
  3. Step 3: Cross multiply
    191,918,928x = 417,914,016 × 417,914,016
  4. Step 4: Simplify right side
    191,918,928x = 174,652,124,769,248,256
  5. Step 5: Solve for x
    x = 174,652,124,769,248,256/191,918,928
  6. Step 6: Final answer
    x = 910,030,743.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.