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Finding the Third Proportional to 68,175,087.75 and 105,779,624.63

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Solution

The third proportional to 68,175,087.75 and 105,779,624.63 is: 164,126,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175,087.75 : 105,779,624.63 = 105,779,624.63 : x
  2. Step 2: Convert to fraction form
    68,175,087.75/105,779,624.63 = 105,779,624.63/x
  3. Step 3: Cross multiply
    68,175,087.75x = 105,779,624.63 × 105,779,624.63
  4. Step 4: Simplify right side
    68,175,087.75x = 11,189,328,985,805,906
  5. Step 5: Solve for x
    x = 11,189,328,985,805,906/68,175,087.75
  6. Step 6: Final answer
    x = 164,126,359.86

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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.