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Finding the Third Proportional to 115,496,312 and 256,815,736

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Solution

The third proportional to 115,496,312 and 256,815,736 is: 571,051,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496,312 : 256,815,736 = 256,815,736 : x
  2. Step 2: Convert to fraction form
    115,496,312/256,815,736 = 256,815,736/x
  3. Step 3: Cross multiply
    115,496,312x = 256,815,736 × 256,815,736
  4. Step 4: Simplify right side
    115,496,312x = 65,954,322,257,221,696
  5. Step 5: Solve for x
    x = 65,954,322,257,221,696/115,496,312
  6. Step 6: Final answer
    x = 571,051,327.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.