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Finding the Third Proportional to 186,449,616 and 282,263,904

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Solution

The third proportional to 186,449,616 and 282,263,904 is: 427,316,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,449,616 : 282,263,904 = 282,263,904 : x
  2. Step 2: Convert to fraction form
    186,449,616/282,263,904 = 282,263,904/x
  3. Step 3: Cross multiply
    186,449,616x = 282,263,904 × 282,263,904
  4. Step 4: Simplify right side
    186,449,616x = 79,672,911,501,321,216
  5. Step 5: Solve for x
    x = 79,672,911,501,321,216/186,449,616
  6. Step 6: Final answer
    x = 427,316,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.