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Finding the Third Proportional to 66,508,184 and 142,917,808

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Solution

The third proportional to 66,508,184 and 142,917,808 is: 307,112,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508,184 : 142,917,808 = 142,917,808 : x
  2. Step 2: Convert to fraction form
    66,508,184/142,917,808 = 142,917,808/x
  3. Step 3: Cross multiply
    66,508,184x = 142,917,808 × 142,917,808
  4. Step 4: Simplify right side
    66,508,184x = 20,425,499,843,524,864
  5. Step 5: Solve for x
    x = 20,425,499,843,524,864/66,508,184
  6. Step 6: Final answer
    x = 307,112,577.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.