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Finding the Third Proportional to 186,917,064 and 409,070,832

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Solution

The third proportional to 186,917,064 and 409,070,832 is: 895,257,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,917,064 : 409,070,832 = 409,070,832 : x
  2. Step 2: Convert to fraction form
    186,917,064/409,070,832 = 409,070,832/x
  3. Step 3: Cross multiply
    186,917,064x = 409,070,832 × 409,070,832
  4. Step 4: Simplify right side
    186,917,064x = 167,338,945,593,172,224
  5. Step 5: Solve for x
    x = 167,338,945,593,172,224/186,917,064
  6. Step 6: Final answer
    x = 895,257,725.60

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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.