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Finding the Third Proportional to 86,185,698 and 120,935,598

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Solution

The third proportional to 86,185,698 and 120,935,598 is: 169,696,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,185,698 : 120,935,598 = 120,935,598 : x
  2. Step 2: Convert to fraction form
    86,185,698/120,935,598 = 120,935,598/x
  3. Step 3: Cross multiply
    86,185,698x = 120,935,598 × 120,935,598
  4. Step 4: Simplify right side
    86,185,698x = 14,625,418,863,617,604
  5. Step 5: Solve for x
    x = 14,625,418,863,617,604/86,185,698
  6. Step 6: Final answer
    x = 169,696,587.75

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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.