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Finding the Third Proportional to 123,964,278 and 270,249,102

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Solution

The third proportional to 123,964,278 and 270,249,102 is: 589,158,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,278 : 270,249,102 = 270,249,102 : x
  2. Step 2: Convert to fraction form
    123,964,278/270,249,102 = 270,249,102/x
  3. Step 3: Cross multiply
    123,964,278x = 270,249,102 × 270,249,102
  4. Step 4: Simplify right side
    123,964,278x = 73,034,577,131,806,400
  5. Step 5: Solve for x
    x = 73,034,577,131,806,400/123,964,278
  6. Step 6: Final answer
    x = 589,158,250.35

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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.