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Finding the Third Proportional to 123,964,288 and 270,249,129

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Solution

The third proportional to 123,964,288 and 270,249,129 is: 589,158,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,288 : 270,249,129 = 270,249,129 : x
  2. Step 2: Convert to fraction form
    123,964,288/270,249,129 = 270,249,129/x
  3. Step 3: Cross multiply
    123,964,288x = 270,249,129 × 270,249,129
  4. Step 4: Simplify right side
    123,964,288x = 73,034,591,725,258,640
  5. Step 5: Solve for x
    x = 73,034,591,725,258,640/123,964,288
  6. Step 6: Final answer
    x = 589,158,320.54

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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.