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Finding the Third Proportional to 75,985,306 and 179,194,464

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Solution

The third proportional to 75,985,306 and 179,194,464 is: 422,590,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985,306 : 179,194,464 = 179,194,464 : x
  2. Step 2: Convert to fraction form
    75,985,306/179,194,464 = 179,194,464/x
  3. Step 3: Cross multiply
    75,985,306x = 179,194,464 × 179,194,464
  4. Step 4: Simplify right side
    75,985,306x = 32,110,655,928,247,296
  5. Step 5: Solve for x
    x = 32,110,655,928,247,296/75,985,306
  6. Step 6: Final answer
    x = 422,590,335.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.