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Finding the Third Proportional to 75,471,800 and 161,706,928

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Solution

The third proportional to 75,471,800 and 161,706,928 is: 346,475,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,800 : 161,706,928 = 161,706,928 : x
  2. Step 2: Convert to fraction form
    75,471,800/161,706,928 = 161,706,928/x
  3. Step 3: Cross multiply
    75,471,800x = 161,706,928 × 161,706,928
  4. Step 4: Simplify right side
    75,471,800x = 26,149,130,563,197,184
  5. Step 5: Solve for x
    x = 26,149,130,563,197,184/75,471,800
  6. Step 6: Final answer
    x = 346,475,512.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.