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Finding the Third Proportional to 68,199,792 and 146,127,360

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Solution

The third proportional to 68,199,792 and 146,127,360 is: 313,097,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,199,792 : 146,127,360 = 146,127,360 : x
  2. Step 2: Convert to fraction form
    68,199,792/146,127,360 = 146,127,360/x
  3. Step 3: Cross multiply
    68,199,792x = 146,127,360 × 146,127,360
  4. Step 4: Simplify right side
    68,199,792x = 21,353,205,340,569,600
  5. Step 5: Solve for x
    x = 21,353,205,340,569,600/68,199,792
  6. Step 6: Final answer
    x = 313,097,807.40

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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.