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Finding the Third Proportional to 106,480,008 and 171,430,020

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Solution

The third proportional to 106,480,008 and 171,430,020 is: 275,997,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480,008 : 171,430,020 = 171,430,020 : x
  2. Step 2: Convert to fraction form
    106,480,008/171,430,020 = 171,430,020/x
  3. Step 3: Cross multiply
    106,480,008x = 171,430,020 × 171,430,020
  4. Step 4: Simplify right side
    106,480,008x = 29,388,251,757,200,400
  5. Step 5: Solve for x
    x = 29,388,251,757,200,400/106,480,008
  6. Step 6: Final answer
    x = 275,997,835.74

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.