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Finding the Third Proportional to 123,964,270 and 270,249,093

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Solution

The third proportional to 123,964,270 and 270,249,093 is: 589,158,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,270 : 270,249,093 = 270,249,093 : x
  2. Step 2: Convert to fraction form
    123,964,270/270,249,093 = 270,249,093/x
  3. Step 3: Cross multiply
    123,964,270x = 270,249,093 × 270,249,093
  4. Step 4: Simplify right side
    123,964,270x = 73,034,572,267,322,656
  5. Step 5: Solve for x
    x = 73,034,572,267,322,656/123,964,270
  6. Step 6: Final answer
    x = 589,158,249.13

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Why These Related Problems?

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