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Finding the Third Proportional to 75,769,903.25 and 163,664,530.75

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Solution

The third proportional to 75,769,903.25 and 163,664,530.75 is: 353,518,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,903.25 : 163,664,530.75 = 163,664,530.75 : x
  2. Step 2: Convert to fraction form
    75,769,903.25/163,664,530.75 = 163,664,530.75/x
  3. Step 3: Cross multiply
    75,769,903.25x = 163,664,530.75 × 163,664,530.75
  4. Step 4: Simplify right side
    75,769,903.25x = 26,786,078,625,617,696
  5. Step 5: Solve for x
    x = 26,786,078,625,617,696/75,769,903.25
  6. Step 6: Final answer
    x = 353,518,712.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.