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Finding the Third Proportional to 105,698,940 and 161,707,470

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Solution

The third proportional to 105,698,940 and 161,707,470 is: 247,394,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698,940 : 161,707,470 = 161,707,470 : x
  2. Step 2: Convert to fraction form
    105,698,940/161,707,470 = 161,707,470/x
  3. Step 3: Cross multiply
    105,698,940x = 161,707,470 × 161,707,470
  4. Step 4: Simplify right side
    105,698,940x = 26,149,305,853,800,900
  5. Step 5: Solve for x
    x = 26,149,305,853,800,900/105,698,940
  6. Step 6: Final answer
    x = 247,394,210.90

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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.