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Finding the Third Proportional to 120,132,161,930 and 181,744,381,587

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Solution

The third proportional to 120,132,161,930 and 181,744,381,587 is: 274,955,679,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,132,161,930 : 181,744,381,587 = 181,744,381,587 : x
  2. Step 2: Convert to fraction form
    120,132,161,930/181,744,381,587 = 181,744,381,587/x
  3. Step 3: Cross multiply
    120,132,161,930x = 181,744,381,587 × 181,744,381,587
  4. Step 4: Simplify right side
    120,132,161,930x = 33,031,020,238,441,065,480,192
  5. Step 5: Solve for x
    x = 33,031,020,238,441,065,480,192/120,132,161,930
  6. Step 6: Final answer
    x = 274,955,679,709.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.