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Finding the Third Proportional to 123,964,272 and 270,249,097

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Solution

The third proportional to 123,964,272 and 270,249,097 is: 589,158,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,272 : 270,249,097 = 270,249,097 : x
  2. Step 2: Convert to fraction form
    123,964,272/270,249,097 = 270,249,097/x
  3. Step 3: Cross multiply
    123,964,272x = 270,249,097 × 270,249,097
  4. Step 4: Simplify right side
    123,964,272x = 73,034,574,429,315,408
  5. Step 5: Solve for x
    x = 73,034,574,429,315,408/123,964,272
  6. Step 6: Final answer
    x = 589,158,257.06

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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.