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Finding the Third Proportional to 177,273,756 and 272,314,196

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Solution

The third proportional to 177,273,756 and 272,314,196 is: 418,307,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,273,756 : 272,314,196 = 272,314,196 : x
  2. Step 2: Convert to fraction form
    177,273,756/272,314,196 = 272,314,196/x
  3. Step 3: Cross multiply
    177,273,756x = 272,314,196 × 272,314,196
  4. Step 4: Simplify right side
    177,273,756x = 74,155,021,343,126,416
  5. Step 5: Solve for x
    x = 74,155,021,343,126,416/177,273,756
  6. Step 6: Final answer
    x = 418,307,949.33

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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.