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Finding the Third Proportional to 77,753,766 and 167,975,254.50

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Solution

The third proportional to 77,753,766 and 167,975,254.50 is: 362,885,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,753,766 : 167,975,254.50 = 167,975,254.50 : x
  2. Step 2: Convert to fraction form
    77,753,766/167,975,254.50 = 167,975,254.50/x
  3. Step 3: Cross multiply
    77,753,766x = 167,975,254.50 × 167,975,254.50
  4. Step 4: Simplify right side
    77,753,766x = 28,215,686,124,339,772
  5. Step 5: Solve for x
    x = 28,215,686,124,339,772/77,753,766
  6. Step 6: Final answer
    x = 362,885,138.25

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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.