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Finding the Third Proportional to 96,249,840 and 200,431,152

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Solution

The third proportional to 96,249,840 and 200,431,152 is: 417,378,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,249,840 : 200,431,152 = 200,431,152 : x
  2. Step 2: Convert to fraction form
    96,249,840/200,431,152 = 200,431,152/x
  3. Step 3: Cross multiply
    96,249,840x = 200,431,152 × 200,431,152
  4. Step 4: Simplify right side
    96,249,840x = 40,172,646,692,047,104
  5. Step 5: Solve for x
    x = 40,172,646,692,047,104/96,249,840
  6. Step 6: Final answer
    x = 417,378,841.27

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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.