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Finding the Third Proportional to 85,068,324 and 186,604,744

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Solution

The third proportional to 85,068,324 and 186,604,744 is: 409,333,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,068,324 : 186,604,744 = 186,604,744 : x
  2. Step 2: Convert to fraction form
    85,068,324/186,604,744 = 186,604,744/x
  3. Step 3: Cross multiply
    85,068,324x = 186,604,744 × 186,604,744
  4. Step 4: Simplify right side
    85,068,324x = 34,821,330,483,305,536
  5. Step 5: Solve for x
    x = 34,821,330,483,305,536/85,068,324
  6. Step 6: Final answer
    x = 409,333,684.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.