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Finding the Third Proportional to 68,140,084 and 105,804,582

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Solution

The third proportional to 68,140,084 and 105,804,582 is: 164,288,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,084 : 105,804,582 = 105,804,582 : x
  2. Step 2: Convert to fraction form
    68,140,084/105,804,582 = 105,804,582/x
  3. Step 3: Cross multiply
    68,140,084x = 105,804,582 × 105,804,582
  4. Step 4: Simplify right side
    68,140,084x = 11,194,609,572,194,724
  5. Step 5: Solve for x
    x = 11,194,609,572,194,724/68,140,084
  6. Step 6: Final answer
    x = 164,288,168.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.