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Finding the Third Proportional to 68,155,360 and 146,703,344

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Solution

The third proportional to 68,155,360 and 146,703,344 is: 315,776,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,360 : 146,703,344 = 146,703,344 : x
  2. Step 2: Convert to fraction form
    68,155,360/146,703,344 = 146,703,344/x
  3. Step 3: Cross multiply
    68,155,360x = 146,703,344 × 146,703,344
  4. Step 4: Simplify right side
    68,155,360x = 21,521,871,140,782,336
  5. Step 5: Solve for x
    x = 21,521,871,140,782,336/68,155,360
  6. Step 6: Final answer
    x = 315,776,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.