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Finding the Third Proportional to 120,132,161,928 and 181,744,381,584

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Solution

The third proportional to 120,132,161,928 and 181,744,381,584 is: 274,955,679,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,132,161,928 : 181,744,381,584 = 181,744,381,584 : x
  2. Step 2: Convert to fraction form
    120,132,161,928/181,744,381,584 = 181,744,381,584/x
  3. Step 3: Cross multiply
    120,132,161,928x = 181,744,381,584 × 181,744,381,584
  4. Step 4: Simplify right side
    120,132,161,928x = 33,031,020,237,350,596,771,840
  5. Step 5: Solve for x
    x = 33,031,020,237,350,596,771,840/120,132,161,928
  6. Step 6: Final answer
    x = 274,955,679,705.05

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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.