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Finding the Third Proportional to 83,216,782.69 and 132,531,068.53

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Solution

The third proportional to 83,216,782.69 and 132,531,068.53 is: 211,069,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216,782.69 : 132,531,068.53 = 132,531,068.53 : x
  2. Step 2: Convert to fraction form
    83,216,782.69/132,531,068.53 = 132,531,068.53/x
  3. Step 3: Cross multiply
    83,216,782.69x = 132,531,068.53 × 132,531,068.53
  4. Step 4: Simplify right side
    83,216,782.69x = 17,564,484,126,034,884
  5. Step 5: Solve for x
    x = 17,564,484,126,034,884/83,216,782.69
  6. Step 6: Final answer
    x = 211,069,012.27

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Why These Related Problems?

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