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Finding the Third Proportional to 120,995,330 and 181,581,507

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Solution

The third proportional to 120,995,330 and 181,581,507 is: 272,505,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995,330 : 181,581,507 = 181,581,507 : x
  2. Step 2: Convert to fraction form
    120,995,330/181,581,507 = 181,581,507/x
  3. Step 3: Cross multiply
    120,995,330x = 181,581,507 × 181,581,507
  4. Step 4: Simplify right side
    120,995,330x = 32,971,843,684,391,048
  5. Step 5: Solve for x
    x = 32,971,843,684,391,048/120,995,330
  6. Step 6: Final answer
    x = 272,505,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.