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Finding the Third Proportional to 69,902,470 and 104,853,716

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Solution

The third proportional to 69,902,470 and 104,853,716 is: 157,280,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902,470 : 104,853,716 = 104,853,716 : x
  2. Step 2: Convert to fraction form
    69,902,470/104,853,716 = 104,853,716/x
  3. Step 3: Cross multiply
    69,902,470x = 104,853,716 × 104,853,716
  4. Step 4: Simplify right side
    69,902,470x = 10,994,301,759,008,656
  5. Step 5: Solve for x
    x = 10,994,301,759,008,656/69,902,470
  6. Step 6: Final answer
    x = 157,280,590.50

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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.