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Finding the Third Proportional to 83,216,785 and 132,531,072

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Solution

The third proportional to 83,216,785 and 132,531,072 is: 211,069,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216,785 : 132,531,072 = 132,531,072 : x
  2. Step 2: Convert to fraction form
    83,216,785/132,531,072 = 132,531,072/x
  3. Step 3: Cross multiply
    83,216,785x = 132,531,072 × 132,531,072
  4. Step 4: Simplify right side
    83,216,785x = 17,564,485,045,469,184
  5. Step 5: Solve for x
    x = 17,564,485,045,469,184/83,216,785
  6. Step 6: Final answer
    x = 211,069,017.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.