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Finding the Third Proportional to 68,106,816 and 105,748,848

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Solution

The third proportional to 68,106,816 and 105,748,848 is: 164,195,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106,816 : 105,748,848 = 105,748,848 : x
  2. Step 2: Convert to fraction form
    68,106,816/105,748,848 = 105,748,848/x
  3. Step 3: Cross multiply
    68,106,816x = 105,748,848 × 105,748,848
  4. Step 4: Simplify right side
    68,106,816x = 11,182,818,853,327,104
  5. Step 5: Solve for x
    x = 11,182,818,853,327,104/68,106,816
  6. Step 6: Final answer
    x = 164,195,296.60

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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.