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Finding the Third Proportional to 68,460,800 and 152,228,414

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Solution

The third proportional to 68,460,800 and 152,228,414 is: 338,492,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460,800 : 152,228,414 = 152,228,414 : x
  2. Step 2: Convert to fraction form
    68,460,800/152,228,414 = 152,228,414/x
  3. Step 3: Cross multiply
    68,460,800x = 152,228,414 × 152,228,414
  4. Step 4: Simplify right side
    68,460,800x = 23,173,490,028,955,396
  5. Step 5: Solve for x
    x = 23,173,490,028,955,396/68,460,800
  6. Step 6: Final answer
    x = 338,492,831.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.