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Finding the Third Proportional to 202,817,196 and 442,800,216

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Solution

The third proportional to 202,817,196 and 442,800,216 is: 966,742,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,817,196 : 442,800,216 = 442,800,216 : x
  2. Step 2: Convert to fraction form
    202,817,196/442,800,216 = 442,800,216/x
  3. Step 3: Cross multiply
    202,817,196x = 442,800,216 × 442,800,216
  4. Step 4: Simplify right side
    202,817,196x = 196,072,031,289,646,656
  5. Step 5: Solve for x
    x = 196,072,031,289,646,656/202,817,196
  6. Step 6: Final answer
    x = 966,742,638.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.