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Finding the Third Proportional to 85,197,314 and 186,612,232

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Solution

The third proportional to 85,197,314 and 186,612,232 is: 408,746,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,197,314 : 186,612,232 = 186,612,232 : x
  2. Step 2: Convert to fraction form
    85,197,314/186,612,232 = 186,612,232/x
  3. Step 3: Cross multiply
    85,197,314x = 186,612,232 × 186,612,232
  4. Step 4: Simplify right side
    85,197,314x = 34,824,125,132,021,824
  5. Step 5: Solve for x
    x = 34,824,125,132,021,824/85,197,314
  6. Step 6: Final answer
    x = 408,746,749.13

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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.