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Finding the Third Proportional to 165,627,432 and 348,388,834.50

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Solution

The third proportional to 165,627,432 and 348,388,834.50 is: 732,818,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627,432 : 348,388,834.50 = 348,388,834.50 : x
  2. Step 2: Convert to fraction form
    165,627,432/348,388,834.50 = 348,388,834.50/x
  3. Step 3: Cross multiply
    165,627,432x = 348,388,834.50 × 348,388,834.50
  4. Step 4: Simplify right side
    165,627,432x = 121,374,780,004,268,384
  5. Step 5: Solve for x
    x = 121,374,780,004,268,384/165,627,432
  6. Step 6: Final answer
    x = 732,818,099.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.