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Finding the Third Proportional to 105,698,985.75 and 161,707,645.69

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Solution

The third proportional to 105,698,985.75 and 161,707,645.69 is: 247,394,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698,985.75 : 161,707,645.69 = 161,707,645.69 : x
  2. Step 2: Convert to fraction form
    105,698,985.75/161,707,645.69 = 161,707,645.69/x
  3. Step 3: Cross multiply
    105,698,985.75x = 161,707,645.69 × 161,707,645.69
  4. Step 4: Simplify right side
    105,698,985.75x = 26,149,362,673,794,036
  5. Step 5: Solve for x
    x = 26,149,362,673,794,036/105,698,985.75
  6. Step 6: Final answer
    x = 247,394,641.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.