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Finding the Third Proportional to 99,888,738,231.88 and 205,072,869,471.50

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Solution

The third proportional to 99,888,738,231.88 and 205,072,869,471.50 is: 421,017,249,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,888,738,231.88 : 205,072,869,471.50 = 205,072,869,471.50 : x
  2. Step 2: Convert to fraction form
    99,888,738,231.88/205,072,869,471.50 = 205,072,869,471.50/x
  3. Step 3: Cross multiply
    99,888,738,231.88x = 205,072,869,471.50 × 205,072,869,471.50
  4. Step 4: Simplify right side
    99,888,738,231.88x = 42,054,881,793,274,873,380,864
  5. Step 5: Solve for x
    x = 42,054,881,793,274,873,380,864/99,888,738,231.88
  6. Step 6: Final answer
    x = 421,017,249,168.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.