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Finding the Third Proportional to 88,789,486,714 and 207,182,628,720

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Solution

The third proportional to 88,789,486,714 and 207,182,628,720 is: 483,442,840,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,789,486,714 : 207,182,628,720 = 207,182,628,720 : x
  2. Step 2: Convert to fraction form
    88,789,486,714/207,182,628,720 = 207,182,628,720/x
  3. Step 3: Cross multiply
    88,789,486,714x = 207,182,628,720 × 207,182,628,720
  4. Step 4: Simplify right side
    88,789,486,714x = 42,924,641,643,329,365,213,184
  5. Step 5: Solve for x
    x = 42,924,641,643,329,365,213,184/88,789,486,714
  6. Step 6: Final answer
    x = 483,442,840,272.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.