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Finding the Third Proportional to 86,846,935,232 and 189,072,293,296

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Solution

The third proportional to 86,846,935,232 and 189,072,293,296 is: 411,624,566,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,846,935,232 : 189,072,293,296 = 189,072,293,296 : x
  2. Step 2: Convert to fraction form
    86,846,935,232/189,072,293,296 = 189,072,293,296/x
  3. Step 3: Cross multiply
    86,846,935,232x = 189,072,293,296 × 189,072,293,296
  4. Step 4: Simplify right side
    86,846,935,232x = 35,748,332,092,208,644,620,288
  5. Step 5: Solve for x
    x = 35,748,332,092,208,644,620,288/86,846,935,232
  6. Step 6: Final answer
    x = 411,624,566,793.43

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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.