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Finding the Third Proportional to 69,243,634.69 and 105,293,778.19

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Solution

The third proportional to 69,243,634.69 and 105,293,778.19 is: 160,112,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,243,634.69 : 105,293,778.19 = 105,293,778.19 : x
  2. Step 2: Convert to fraction form
    69,243,634.69/105,293,778.19 = 105,293,778.19/x
  3. Step 3: Cross multiply
    69,243,634.69x = 105,293,778.19 × 105,293,778.19
  4. Step 4: Simplify right side
    69,243,634.69x = 11,086,779,724,998,450
  5. Step 5: Solve for x
    x = 11,086,779,724,998,450/69,243,634.69
  6. Step 6: Final answer
    x = 160,112,619.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.