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Finding the Third Proportional to 86,180,202 and 184,304,340

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Solution

The third proportional to 86,180,202 and 184,304,340 is: 394,151,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,180,202 : 184,304,340 = 184,304,340 : x
  2. Step 2: Convert to fraction form
    86,180,202/184,304,340 = 184,304,340/x
  3. Step 3: Cross multiply
    86,180,202x = 184,304,340 × 184,304,340
  4. Step 4: Simplify right side
    86,180,202x = 33,968,089,742,835,600
  5. Step 5: Solve for x
    x = 33,968,089,742,835,600/86,180,202
  6. Step 6: Final answer
    x = 394,151,892.83

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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.