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Finding the Third Proportional to 177,273,744 and 272,314,176

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Solution

The third proportional to 177,273,744 and 272,314,176 is: 418,307,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,273,744 : 272,314,176 = 272,314,176 : x
  2. Step 2: Convert to fraction form
    177,273,744/272,314,176 = 272,314,176/x
  3. Step 3: Cross multiply
    177,273,744x = 272,314,176 × 272,314,176
  4. Step 4: Simplify right side
    177,273,744x = 74,155,010,450,558,976
  5. Step 5: Solve for x
    x = 74,155,010,450,558,976/177,273,744
  6. Step 6: Final answer
    x = 418,307,916.21

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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.