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Finding the Third Proportional to 82,238,613.50 and 182,859,583

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Solution

The third proportional to 82,238,613.50 and 182,859,583 is: 406,592,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238,613.50 : 182,859,583 = 182,859,583 : x
  2. Step 2: Convert to fraction form
    82,238,613.50/182,859,583 = 182,859,583/x
  3. Step 3: Cross multiply
    82,238,613.50x = 182,859,583 × 182,859,583
  4. Step 4: Simplify right side
    82,238,613.50x = 33,437,627,094,933,888
  5. Step 5: Solve for x
    x = 33,437,627,094,933,888/82,238,613.50
  6. Step 6: Final answer
    x = 406,592,787.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.