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Finding the Third Proportional to 168,911,982 and 261,124,789

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Solution

The third proportional to 168,911,982 and 261,124,789 is: 403,678,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,911,982 : 261,124,789 = 261,124,789 : x
  2. Step 2: Convert to fraction form
    168,911,982/261,124,789 = 261,124,789/x
  3. Step 3: Cross multiply
    168,911,982x = 261,124,789 × 261,124,789
  4. Step 4: Simplify right side
    168,911,982x = 68,186,155,430,294,520
  5. Step 5: Solve for x
    x = 68,186,155,430,294,520/168,911,982
  6. Step 6: Final answer
    x = 403,678,617.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.