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Finding the Third Proportional to 104,853,838.50 and 157,280,778

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Solution

The third proportional to 104,853,838.50 and 157,280,778 is: 235,921,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,838.50 : 157,280,778 = 157,280,778 : x
  2. Step 2: Convert to fraction form
    104,853,838.50/157,280,778 = 157,280,778/x
  3. Step 3: Cross multiply
    104,853,838.50x = 157,280,778 × 157,280,778
  4. Step 4: Simplify right side
    104,853,838.50x = 24,737,243,128,285,284
  5. Step 5: Solve for x
    x = 24,737,243,128,285,284/104,853,838.50
  6. Step 6: Final answer
    x = 235,921,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.