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Finding the Third Proportional to 77,284,910 and 166,676,369

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Solution

The third proportional to 77,284,910 and 166,676,369 is: 359,462,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,910 : 166,676,369 = 166,676,369 : x
  2. Step 2: Convert to fraction form
    77,284,910/166,676,369 = 166,676,369/x
  3. Step 3: Cross multiply
    77,284,910x = 166,676,369 × 166,676,369
  4. Step 4: Simplify right side
    77,284,910x = 27,781,011,983,024,160
  5. Step 5: Solve for x
    x = 27,781,011,983,024,160/77,284,910
  6. Step 6: Final answer
    x = 359,462,306.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.