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Finding the Third Proportional to 123,964,296 and 270,249,144

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Solution

The third proportional to 123,964,296 and 270,249,144 is: 589,158,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,296 : 270,249,144 = 270,249,144 : x
  2. Step 2: Convert to fraction form
    123,964,296/270,249,144 = 270,249,144/x
  3. Step 3: Cross multiply
    123,964,296x = 270,249,144 × 270,249,144
  4. Step 4: Simplify right side
    123,964,296x = 73,034,599,832,732,736
  5. Step 5: Solve for x
    x = 73,034,599,832,732,736/123,964,296
  6. Step 6: Final answer
    x = 589,158,347.92

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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.