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Finding the Third Proportional to 86,648,616 and 190,304,208

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Solution

The third proportional to 86,648,616 and 190,304,208 is: 417,960,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,648,616 : 190,304,208 = 190,304,208 : x
  2. Step 2: Convert to fraction form
    86,648,616/190,304,208 = 190,304,208/x
  3. Step 3: Cross multiply
    86,648,616x = 190,304,208 × 190,304,208
  4. Step 4: Simplify right side
    86,648,616x = 36,215,691,582,507,264
  5. Step 5: Solve for x
    x = 36,215,691,582,507,264/86,648,616
  6. Step 6: Final answer
    x = 417,960,415.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.