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Finding the Third Proportional to 83,216,902.50 and 132,531,214.50

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Solution

The third proportional to 83,216,902.50 and 132,531,214.50 is: 211,069,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216,902.50 : 132,531,214.50 = 132,531,214.50 : x
  2. Step 2: Convert to fraction form
    83,216,902.50/132,531,214.50 = 132,531,214.50/x
  3. Step 3: Cross multiply
    83,216,902.50x = 132,531,214.50 × 132,531,214.50
  4. Step 4: Simplify right side
    83,216,902.50x = 17,564,522,816,845,010
  5. Step 5: Solve for x
    x = 17,564,522,816,845,010/83,216,902.50
  6. Step 6: Final answer
    x = 211,069,173.32

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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.