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Finding the Third Proportional to 132,828,295 and 208,349,520

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Solution

The third proportional to 132,828,295 and 208,349,520 is: 326,809,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828,295 : 208,349,520 = 208,349,520 : x
  2. Step 2: Convert to fraction form
    132,828,295/208,349,520 = 208,349,520/x
  3. Step 3: Cross multiply
    132,828,295x = 208,349,520 × 208,349,520
  4. Step 4: Simplify right side
    132,828,295x = 43,409,522,484,230,400
  5. Step 5: Solve for x
    x = 43,409,522,484,230,400/132,828,295
  6. Step 6: Final answer
    x = 326,809,302.82

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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.