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Finding the Third Proportional to 85,556,304 and 184,748,800

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Solution

The third proportional to 85,556,304 and 184,748,800 is: 398,943,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,556,304 : 184,748,800 = 184,748,800 : x
  2. Step 2: Convert to fraction form
    85,556,304/184,748,800 = 184,748,800/x
  3. Step 3: Cross multiply
    85,556,304x = 184,748,800 × 184,748,800
  4. Step 4: Simplify right side
    85,556,304x = 34,132,119,101,440,000
  5. Step 5: Solve for x
    x = 34,132,119,101,440,000/85,556,304
  6. Step 6: Final answer
    x = 398,943,356.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.