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Finding the Third Proportional to 121,439,872.69 and 177,605,244.84

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Solution

The third proportional to 121,439,872.69 and 177,605,244.84 is: 259,746,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,439,872.69 : 177,605,244.84 = 177,605,244.84 : x
  2. Step 2: Convert to fraction form
    121,439,872.69/177,605,244.84 = 177,605,244.84/x
  3. Step 3: Cross multiply
    121,439,872.69x = 177,605,244.84 × 177,605,244.84
  4. Step 4: Simplify right side
    121,439,872.69x = 31,543,622,996,008,384
  5. Step 5: Solve for x
    x = 31,543,622,996,008,384/121,439,872.69
  6. Step 6: Final answer
    x = 259,746,838.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.