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Finding the Third Proportional to 151,210,824 and 329,789,784

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Solution

The third proportional to 151,210,824 and 329,789,784 is: 719,269,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,210,824 : 329,789,784 = 329,789,784 : x
  2. Step 2: Convert to fraction form
    151,210,824/329,789,784 = 329,789,784/x
  3. Step 3: Cross multiply
    151,210,824x = 329,789,784 × 329,789,784
  4. Step 4: Simplify right side
    151,210,824x = 108,761,301,630,766,656
  5. Step 5: Solve for x
    x = 108,761,301,630,766,656/151,210,824
  6. Step 6: Final answer
    x = 719,269,287.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.