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Finding the Third Proportional to 175,566,256 and 382,039,268

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Solution

The third proportional to 175,566,256 and 382,039,268 is: 831,332,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,566,256 : 382,039,268 = 382,039,268 : x
  2. Step 2: Convert to fraction form
    175,566,256/382,039,268 = 382,039,268/x
  3. Step 3: Cross multiply
    175,566,256x = 382,039,268 × 382,039,268
  4. Step 4: Simplify right side
    175,566,256x = 145,954,002,293,975,808
  5. Step 5: Solve for x
    x = 145,954,002,293,975,808/175,566,256
  6. Step 6: Final answer
    x = 831,332,886.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.