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Finding the Third Proportional to 141,151,173 and 305,752,150.50

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Solution

The third proportional to 141,151,173 and 305,752,150.50 is: 662,299,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,151,173 : 305,752,150.50 = 305,752,150.50 : x
  2. Step 2: Convert to fraction form
    141,151,173/305,752,150.50 = 305,752,150.50/x
  3. Step 3: Cross multiply
    141,151,173x = 305,752,150.50 × 305,752,150.50
  4. Step 4: Simplify right side
    141,151,173x = 93,484,377,535,374,656
  5. Step 5: Solve for x
    x = 93,484,377,535,374,656/141,151,173
  6. Step 6: Final answer
    x = 662,299,685.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.