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Finding the Third Proportional to 77,087,840 and 166,877,600

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Solution

The third proportional to 77,087,840 and 166,877,600 is: 361,251,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087,840 : 166,877,600 = 166,877,600 : x
  2. Step 2: Convert to fraction form
    77,087,840/166,877,600 = 166,877,600/x
  3. Step 3: Cross multiply
    77,087,840x = 166,877,600 × 166,877,600
  4. Step 4: Simplify right side
    77,087,840x = 27,848,133,381,760,000
  5. Step 5: Solve for x
    x = 27,848,133,381,760,000/77,087,840
  6. Step 6: Final answer
    x = 361,251,961.16

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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.