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Finding the Third Proportional to 132,890,766.75 and 207,991,820.25

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Solution

The third proportional to 132,890,766.75 and 207,991,820.25 is: 325,535,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,890,766.75 : 207,991,820.25 = 207,991,820.25 : x
  2. Step 2: Convert to fraction form
    132,890,766.75/207,991,820.25 = 207,991,820.25/x
  3. Step 3: Cross multiply
    132,890,766.75x = 207,991,820.25 × 207,991,820.25
  4. Step 4: Simplify right side
    132,890,766.75x = 43,260,597,290,908,312
  5. Step 5: Solve for x
    x = 43,260,597,290,908,312/132,890,766.75
  6. Step 6: Final answer
    x = 325,535,011.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.