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Finding the Third Proportional to 104,853,734 and 157,280,615

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Solution

The third proportional to 104,853,734 and 157,280,615 is: 235,920,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,734 : 157,280,615 = 157,280,615 : x
  2. Step 2: Convert to fraction form
    104,853,734/157,280,615 = 157,280,615/x
  3. Step 3: Cross multiply
    104,853,734x = 157,280,615 × 157,280,615
  4. Step 4: Simplify right side
    104,853,734x = 24,737,191,854,778,224
  5. Step 5: Solve for x
    x = 24,737,191,854,778,224/104,853,734
  6. Step 6: Final answer
    x = 235,920,943.50

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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.