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Finding the Third Proportional to 177,273,768 and 272,314,216

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Solution

The third proportional to 177,273,768 and 272,314,216 is: 418,307,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,273,768 : 272,314,216 = 272,314,216 : x
  2. Step 2: Convert to fraction form
    177,273,768/272,314,216 = 272,314,216/x
  3. Step 3: Cross multiply
    177,273,768x = 272,314,216 × 272,314,216
  4. Step 4: Simplify right side
    177,273,768x = 74,155,032,235,694,656
  5. Step 5: Solve for x
    x = 74,155,032,235,694,656/177,273,768
  6. Step 6: Final answer
    x = 418,307,982.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.