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Finding the Third Proportional to 138,417,716 and 326,748,250

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Solution

The third proportional to 138,417,716 and 326,748,250 is: 771,320,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,716 : 326,748,250 = 326,748,250 : x
  2. Step 2: Convert to fraction form
    138,417,716/326,748,250 = 326,748,250/x
  3. Step 3: Cross multiply
    138,417,716x = 326,748,250 × 326,748,250
  4. Step 4: Simplify right side
    138,417,716x = 106,764,418,878,062,496
  5. Step 5: Solve for x
    x = 106,764,418,878,062,496/138,417,716
  6. Step 6: Final answer
    x = 771,320,478.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.