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Finding the Third Proportional to 82,872,697.88 and 180,458,632.50

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Solution

The third proportional to 82,872,697.88 and 180,458,632.50 is: 392,955,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872,697.88 : 180,458,632.50 = 180,458,632.50 : x
  2. Step 2: Convert to fraction form
    82,872,697.88/180,458,632.50 = 180,458,632.50/x
  3. Step 3: Cross multiply
    82,872,697.88x = 180,458,632.50 × 180,458,632.50
  4. Step 4: Simplify right side
    82,872,697.88x = 32,565,318,043,770,056
  5. Step 5: Solve for x
    x = 32,565,318,043,770,056/82,872,697.88
  6. Step 6: Final answer
    x = 392,955,929.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.