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Finding the Third Proportional to 68,140,080 and 105,804,576

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Solution

The third proportional to 68,140,080 and 105,804,576 is: 164,288,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,080 : 105,804,576 = 105,804,576 : x
  2. Step 2: Convert to fraction form
    68,140,080/105,804,576 = 105,804,576/x
  3. Step 3: Cross multiply
    68,140,080x = 105,804,576 × 105,804,576
  4. Step 4: Simplify right side
    68,140,080x = 11,194,608,302,539,776
  5. Step 5: Solve for x
    x = 11,194,608,302,539,776/68,140,080
  6. Step 6: Final answer
    x = 164,288,159.08

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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.