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Finding the Third Proportional to 68,140,090 and 105,804,591

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Solution

The third proportional to 68,140,090 and 105,804,591 is: 164,288,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,090 : 105,804,591 = 105,804,591 : x
  2. Step 2: Convert to fraction form
    68,140,090/105,804,591 = 105,804,591/x
  3. Step 3: Cross multiply
    68,140,090x = 105,804,591 × 105,804,591
  4. Step 4: Simplify right side
    68,140,090x = 11,194,611,476,677,280
  5. Step 5: Solve for x
    x = 11,194,611,476,677,280/68,140,090
  6. Step 6: Final answer
    x = 164,288,181.55

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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.