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Finding the Third Proportional to 86,259,116 and 185,671,396

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Solution

The third proportional to 86,259,116 and 185,671,396 is: 399,654,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,259,116 : 185,671,396 = 185,671,396 : x
  2. Step 2: Convert to fraction form
    86,259,116/185,671,396 = 185,671,396/x
  3. Step 3: Cross multiply
    86,259,116x = 185,671,396 × 185,671,396
  4. Step 4: Simplify right side
    86,259,116x = 34,473,867,292,588,816
  5. Step 5: Solve for x
    x = 34,473,867,292,588,816/86,259,116
  6. Step 6: Final answer
    x = 399,654,771.47

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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.