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Finding the Third Proportional to 123,964,281 and 270,249,108

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Solution

The third proportional to 123,964,281 and 270,249,108 is: 589,158,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,281 : 270,249,108 = 270,249,108 : x
  2. Step 2: Convert to fraction form
    123,964,281/270,249,108 = 270,249,108/x
  3. Step 3: Cross multiply
    123,964,281x = 270,249,108 × 270,249,108
  4. Step 4: Simplify right side
    123,964,281x = 73,034,580,374,795,664
  5. Step 5: Solve for x
    x = 73,034,580,374,795,664/123,964,281
  6. Step 6: Final answer
    x = 589,158,262.25

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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.