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Finding the Third Proportional to 132,728,370 and 207,756,148.50

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Solution

The third proportional to 132,728,370 and 207,756,148.50 is: 325,195,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,728,370 : 207,756,148.50 = 207,756,148.50 : x
  2. Step 2: Convert to fraction form
    132,728,370/207,756,148.50 = 207,756,148.50/x
  3. Step 3: Cross multiply
    132,728,370x = 207,756,148.50 × 207,756,148.50
  4. Step 4: Simplify right side
    132,728,370x = 43,162,617,239,554,056
  5. Step 5: Solve for x
    x = 43,162,617,239,554,056/132,728,370
  6. Step 6: Final answer
    x = 325,195,112.69

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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.