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Finding the Third Proportional to 99,927,191 and 222,830,532

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Solution

The third proportional to 99,927,191 and 222,830,532 is: 496,896,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,927,191 : 222,830,532 = 222,830,532 : x
  2. Step 2: Convert to fraction form
    99,927,191/222,830,532 = 222,830,532/x
  3. Step 3: Cross multiply
    99,927,191x = 222,830,532 × 222,830,532
  4. Step 4: Simplify right side
    99,927,191x = 49,653,445,991,403,024
  5. Step 5: Solve for x
    x = 49,653,445,991,403,024/99,927,191
  6. Step 6: Final answer
    x = 496,896,245.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.