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Finding the Third Proportional to 86,180,364 and 184,304,664

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Solution

The third proportional to 86,180,364 and 184,304,664 is: 394,152,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,180,364 : 184,304,664 = 184,304,664 : x
  2. Step 2: Convert to fraction form
    86,180,364/184,304,664 = 184,304,664/x
  3. Step 3: Cross multiply
    86,180,364x = 184,304,664 × 184,304,664
  4. Step 4: Simplify right side
    86,180,364x = 33,968,209,172,152,896
  5. Step 5: Solve for x
    x = 33,968,209,172,152,896/86,180,364
  6. Step 6: Final answer
    x = 394,152,537.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.