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Finding the Third Proportional to 86,185,694.25 and 120,935,592

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Solution

The third proportional to 86,185,694.25 and 120,935,592 is: 169,696,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,185,694.25 : 120,935,592 = 120,935,592 : x
  2. Step 2: Convert to fraction form
    86,185,694.25/120,935,592 = 120,935,592/x
  3. Step 3: Cross multiply
    86,185,694.25x = 120,935,592 × 120,935,592
  4. Step 4: Simplify right side
    86,185,694.25x = 14,625,417,412,390,464
  5. Step 5: Solve for x
    x = 14,625,417,412,390,464/86,185,694.25
  6. Step 6: Final answer
    x = 169,696,578.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.