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Finding the Third Proportional to 86,209,796 and 188,221,324

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Solution

The third proportional to 86,209,796 and 188,221,324 is: 410,942,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,209,796 : 188,221,324 = 188,221,324 : x
  2. Step 2: Convert to fraction form
    86,209,796/188,221,324 = 188,221,324/x
  3. Step 3: Cross multiply
    86,209,796x = 188,221,324 × 188,221,324
  4. Step 4: Simplify right side
    86,209,796x = 35,427,266,808,312,976
  5. Step 5: Solve for x
    x = 35,427,266,808,312,976/86,209,796
  6. Step 6: Final answer
    x = 410,942,473.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.