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Finding the Third Proportional to 68,106,764 and 105,748,748

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Solution

The third proportional to 68,106,764 and 105,748,748 is: 164,195,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106,764 : 105,748,748 = 105,748,748 : x
  2. Step 2: Convert to fraction form
    68,106,764/105,748,748 = 105,748,748/x
  3. Step 3: Cross multiply
    68,106,764x = 105,748,748 × 105,748,748
  4. Step 4: Simplify right side
    68,106,764x = 11,182,797,703,567,504
  5. Step 5: Solve for x
    x = 11,182,797,703,567,504/68,106,764
  6. Step 6: Final answer
    x = 164,195,111.42

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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.