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Finding the Third Proportional to 68,110,800.75 and 105,664,672.13

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Solution

The third proportional to 68,110,800.75 and 105,664,672.13 is: 163,924,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110,800.75 : 105,664,672.13 = 105,664,672.13 : x
  2. Step 2: Convert to fraction form
    68,110,800.75/105,664,672.13 = 105,664,672.13/x
  3. Step 3: Cross multiply
    68,110,800.75x = 105,664,672.13 × 105,664,672.13
  4. Step 4: Simplify right side
    68,110,800.75x = 11,165,022,935,283,752
  5. Step 5: Solve for x
    x = 11,165,022,935,283,752/68,110,800.75
  6. Step 6: Final answer
    x = 163,924,411.58

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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.