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Finding the Third Proportional to 96,249,820 and 200,431,112

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Solution

The third proportional to 96,249,820 and 200,431,112 is: 417,378,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249,820 : 200,431,112 = 200,431,112 : x
  2. Step 2: Convert to fraction form
    96,249,820/200,431,112 = 200,431,112/x
  3. Step 3: Cross multiply
    96,249,820x = 200,431,112 × 200,431,112
  4. Step 4: Simplify right side
    96,249,820x = 40,172,630,657,556,544
  5. Step 5: Solve for x
    x = 40,172,630,657,556,544/96,249,820
  6. Step 6: Final answer
    x = 417,378,761.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.