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Finding the Third Proportional to 138,080,030 and 297,679,984

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Solution

The third proportional to 138,080,030 and 297,679,984 is: 641,753,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,080,030 : 297,679,984 = 297,679,984 : x
  2. Step 2: Convert to fraction form
    138,080,030/297,679,984 = 297,679,984/x
  3. Step 3: Cross multiply
    138,080,030x = 297,679,984 × 297,679,984
  4. Step 4: Simplify right side
    138,080,030x = 88,613,372,874,240,256
  5. Step 5: Solve for x
    x = 88,613,372,874,240,256/138,080,030
  6. Step 6: Final answer
    x = 641,753,719.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.