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Finding the Third Proportional to 107,576,302,668 and 160,771,542,426

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Solution

The third proportional to 107,576,302,668 and 160,771,542,426 is: 240,271,214,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,576,302,668 : 160,771,542,426 = 160,771,542,426 : x
  2. Step 2: Convert to fraction form
    107,576,302,668/160,771,542,426 = 160,771,542,426/x
  3. Step 3: Cross multiply
    107,576,302,668x = 160,771,542,426 × 160,771,542,426
  4. Step 4: Simplify right side
    107,576,302,668x = 25,847,488,854,035,118,686,208
  5. Step 5: Solve for x
    x = 25,847,488,854,035,118,686,208/107,576,302,668
  6. Step 6: Final answer
    x = 240,271,214,133.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.