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Finding the Third Proportional to 126,947,100 and 175,412,053.50

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Solution

The third proportional to 126,947,100 and 175,412,053.50 is: 242,379,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,947,100 : 175,412,053.50 = 175,412,053.50 : x
  2. Step 2: Convert to fraction form
    126,947,100/175,412,053.50 = 175,412,053.50/x
  3. Step 3: Cross multiply
    126,947,100x = 175,412,053.50 × 175,412,053.50
  4. Step 4: Simplify right side
    126,947,100x = 30,769,388,513,086,864
  5. Step 5: Solve for x
    x = 30,769,388,513,086,864/126,947,100
  6. Step 6: Final answer
    x = 242,379,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.