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Finding the Third Proportional to 98,627,277 and 157,073,827.50

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Solution

The third proportional to 98,627,277 and 157,073,827.50 is: 250,155,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,627,277 : 157,073,827.50 = 157,073,827.50 : x
  2. Step 2: Convert to fraction form
    98,627,277/157,073,827.50 = 157,073,827.50/x
  3. Step 3: Cross multiply
    98,627,277x = 157,073,827.50 × 157,073,827.50
  4. Step 4: Simplify right side
    98,627,277x = 24,672,187,285,499,756
  5. Step 5: Solve for x
    x = 24,672,187,285,499,756/98,627,277
  6. Step 6: Final answer
    x = 250,155,819.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.