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Finding the Third Proportional to 68,155,362 and 146,703,348

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Solution

The third proportional to 68,155,362 and 146,703,348 is: 315,776,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,155,362 : 146,703,348 = 146,703,348 : x
  2. Step 2: Convert to fraction form
    68,155,362/146,703,348 = 146,703,348/x
  3. Step 3: Cross multiply
    68,155,362x = 146,703,348 × 146,703,348
  4. Step 4: Simplify right side
    68,155,362x = 21,521,872,314,409,104
  5. Step 5: Solve for x
    x = 21,521,872,314,409,104/68,155,362
  6. Step 6: Final answer
    x = 315,776,656.20

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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.