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Finding the Third Proportional to 105,845,532 and 227,909,370

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Solution

The third proportional to 105,845,532 and 227,909,370 is: 490,740,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,845,532 : 227,909,370 = 227,909,370 : x
  2. Step 2: Convert to fraction form
    105,845,532/227,909,370 = 227,909,370/x
  3. Step 3: Cross multiply
    105,845,532x = 227,909,370 × 227,909,370
  4. Step 4: Simplify right side
    105,845,532x = 51,942,680,933,796,896
  5. Step 5: Solve for x
    x = 51,942,680,933,796,896/105,845,532
  6. Step 6: Final answer
    x = 490,740,420.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.