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Finding the Third Proportional to 215,329,367.25 and 472,346,963.75

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Solution

The third proportional to 215,329,367.25 and 472,346,963.75 is: 1,036,141,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,367.25 : 472,346,963.75 = 472,346,963.75 : x
  2. Step 2: Convert to fraction form
    215,329,367.25/472,346,963.75 = 472,346,963.75/x
  3. Step 3: Cross multiply
    215,329,367.25x = 472,346,963.75 × 472,346,963.75
  4. Step 4: Simplify right side
    215,329,367.25x = 223,111,654,163,843,808
  5. Step 5: Solve for x
    x = 223,111,654,163,843,808/215,329,367.25
  6. Step 6: Final answer
    x = 1,036,141,316.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.