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Finding the Third Proportional to 86,296,200 and 185,399,160

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Solution

The third proportional to 86,296,200 and 185,399,160 is: 398,312,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,296,200 : 185,399,160 = 185,399,160 : x
  2. Step 2: Convert to fraction form
    86,296,200/185,399,160 = 185,399,160/x
  3. Step 3: Cross multiply
    86,296,200x = 185,399,160 × 185,399,160
  4. Step 4: Simplify right side
    86,296,200x = 34,372,848,528,705,600
  5. Step 5: Solve for x
    x = 34,372,848,528,705,600/86,296,200
  6. Step 6: Final answer
    x = 398,312,423.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.