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Finding the Third Proportional to 109,341,841 and 240,971,031

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Solution

The third proportional to 109,341,841 and 240,971,031 is: 531,059,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,341,841 : 240,971,031 = 240,971,031 : x
  2. Step 2: Convert to fraction form
    109,341,841/240,971,031 = 240,971,031/x
  3. Step 3: Cross multiply
    109,341,841x = 240,971,031 × 240,971,031
  4. Step 4: Simplify right side
    109,341,841x = 58,067,037,781,202,960
  5. Step 5: Solve for x
    x = 58,067,037,781,202,960/109,341,841
  6. Step 6: Final answer
    x = 531,059,631.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.