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Finding the Third Proportional to 132,828,294 and 208,349,519

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Solution

The third proportional to 132,828,294 and 208,349,519 is: 326,809,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828,294 : 208,349,519 = 208,349,519 : x
  2. Step 2: Convert to fraction form
    132,828,294/208,349,519 = 208,349,519/x
  3. Step 3: Cross multiply
    132,828,294x = 208,349,519 × 208,349,519
  4. Step 4: Simplify right side
    132,828,294x = 43,409,522,067,531,360
  5. Step 5: Solve for x
    x = 43,409,522,067,531,360/132,828,294
  6. Step 6: Final answer
    x = 326,809,302.15

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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.