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Finding the Third Proportional to 105,698,944 and 161,707,476

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Solution

The third proportional to 105,698,944 and 161,707,476 is: 247,394,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698,944 : 161,707,476 = 161,707,476 : x
  2. Step 2: Convert to fraction form
    105,698,944/161,707,476 = 161,707,476/x
  3. Step 3: Cross multiply
    105,698,944x = 161,707,476 × 161,707,476
  4. Step 4: Simplify right side
    105,698,944x = 26,149,307,794,290,576
  5. Step 5: Solve for x
    x = 26,149,307,794,290,576/105,698,944
  6. Step 6: Final answer
    x = 247,394,219.89

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Why These Related Problems?

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