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Finding the Third Proportional to 213,218,671.50 and 322,452,407.25

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Solution

The third proportional to 213,218,671.50 and 322,452,407.25 is: 487,647,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,218,671.50 : 322,452,407.25 = 322,452,407.25 : x
  2. Step 2: Convert to fraction form
    213,218,671.50/322,452,407.25 = 322,452,407.25/x
  3. Step 3: Cross multiply
    213,218,671.50x = 322,452,407.25 × 322,452,407.25
  4. Step 4: Simplify right side
    213,218,671.50x = 103,975,554,941,319,856
  5. Step 5: Solve for x
    x = 103,975,554,941,319,856/213,218,671.50
  6. Step 6: Final answer
    x = 487,647,513.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.