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Finding the Third Proportional to 191,918,930 and 417,914,020

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Solution

The third proportional to 191,918,930 and 417,914,020 is: 910,030,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,918,930 : 417,914,020 = 417,914,020 : x
  2. Step 2: Convert to fraction form
    191,918,930/417,914,020 = 417,914,020/x
  3. Step 3: Cross multiply
    191,918,930x = 417,914,020 × 417,914,020
  4. Step 4: Simplify right side
    191,918,930x = 174,652,128,112,560,384
  5. Step 5: Solve for x
    x = 174,652,128,112,560,384/191,918,930
  6. Step 6: Final answer
    x = 910,030,751.59

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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.