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Finding the Third Proportional to 84,168,304 and 181,120,352

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Solution

The third proportional to 84,168,304 and 181,120,352 is: 389,749,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168,304 : 181,120,352 = 181,120,352 : x
  2. Step 2: Convert to fraction form
    84,168,304/181,120,352 = 181,120,352/x
  3. Step 3: Cross multiply
    84,168,304x = 181,120,352 × 181,120,352
  4. Step 4: Simplify right side
    84,168,304x = 32,804,581,908,603,904
  5. Step 5: Solve for x
    x = 32,804,581,908,603,904/84,168,304
  6. Step 6: Final answer
    x = 389,749,826.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.