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Finding the Third Proportional to 286,161,345.50 and 619,862,214

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Solution

The third proportional to 286,161,345.50 and 619,862,214 is: 1,342,701,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161,345.50 : 619,862,214 = 619,862,214 : x
  2. Step 2: Convert to fraction form
    286,161,345.50/619,862,214 = 619,862,214/x
  3. Step 3: Cross multiply
    286,161,345.50x = 619,862,214 × 619,862,214
  4. Step 4: Simplify right side
    286,161,345.50x = 384,229,164,344,981,824
  5. Step 5: Solve for x
    x = 384,229,164,344,981,824/286,161,345.50
  6. Step 6: Final answer
    x = 1,342,701,138.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.