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Finding the Third Proportional to 136,177,626 and 291,287,838

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Solution

The third proportional to 136,177,626 and 291,287,838 is: 623,073,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,177,626 : 291,287,838 = 291,287,838 : x
  2. Step 2: Convert to fraction form
    136,177,626/291,287,838 = 291,287,838/x
  3. Step 3: Cross multiply
    136,177,626x = 291,287,838 × 291,287,838
  4. Step 4: Simplify right side
    136,177,626x = 84,848,604,566,714,240
  5. Step 5: Solve for x
    x = 84,848,604,566,714,240/136,177,626
  6. Step 6: Final answer
    x = 623,073,019.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.