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Finding the Third Proportional to 104,853,729 and 157,280,607

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Solution

The third proportional to 104,853,729 and 157,280,607 is: 235,920,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,729 : 157,280,607 = 157,280,607 : x
  2. Step 2: Convert to fraction form
    104,853,729/157,280,607 = 157,280,607/x
  3. Step 3: Cross multiply
    104,853,729x = 157,280,607 × 157,280,607
  4. Step 4: Simplify right side
    104,853,729x = 24,737,189,338,288,448
  5. Step 5: Solve for x
    x = 24,737,189,338,288,448/104,853,729
  6. Step 6: Final answer
    x = 235,920,930.75

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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.