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Finding the Third Proportional to 86,813,626,873.50 and 188,052,991,875

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Solution

The third proportional to 86,813,626,873.50 and 188,052,991,875 is: 407,354,571,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,813,626,873.50 : 188,052,991,875 = 188,052,991,875 : x
  2. Step 2: Convert to fraction form
    86,813,626,873.50/188,052,991,875 = 188,052,991,875/x
  3. Step 3: Cross multiply
    86,813,626,873.50x = 188,052,991,875 × 188,052,991,875
  4. Step 4: Simplify right side
    86,813,626,873.50x = 35,363,927,753,138,815,107,072
  5. Step 5: Solve for x
    x = 35,363,927,753,138,815,107,072/86,813,626,873.50
  6. Step 6: Final answer
    x = 407,354,571,243.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.