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Finding the Third Proportional to 105,841,109 and 227,897,716

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Solution

The third proportional to 105,841,109 and 227,897,716 is: 490,710,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841,109 : 227,897,716 = 227,897,716 : x
  2. Step 2: Convert to fraction form
    105,841,109/227,897,716 = 227,897,716/x
  3. Step 3: Cross multiply
    105,841,109x = 227,897,716 × 227,897,716
  4. Step 4: Simplify right side
    105,841,109x = 51,937,368,958,016,656
  5. Step 5: Solve for x
    x = 51,937,368,958,016,656/105,841,109
  6. Step 6: Final answer
    x = 490,710,740.36

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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.