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Finding the Third Proportional to 98,465,384 and 214,269,304

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Solution

The third proportional to 98,465,384 and 214,269,304 is: 466,268,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465,384 : 214,269,304 = 214,269,304 : x
  2. Step 2: Convert to fraction form
    98,465,384/214,269,304 = 214,269,304/x
  3. Step 3: Cross multiply
    98,465,384x = 214,269,304 × 214,269,304
  4. Step 4: Simplify right side
    98,465,384x = 45,911,334,636,644,416
  5. Step 5: Solve for x
    x = 45,911,334,636,644,416/98,465,384
  6. Step 6: Final answer
    x = 466,268,781.69

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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.