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Finding the Third Proportional to 123,097,298 and 266,621,860

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Solution

The third proportional to 123,097,298 and 266,621,860 is: 577,488,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097,298 : 266,621,860 = 266,621,860 : x
  2. Step 2: Convert to fraction form
    123,097,298/266,621,860 = 266,621,860/x
  3. Step 3: Cross multiply
    123,097,298x = 266,621,860 × 266,621,860
  4. Step 4: Simplify right side
    123,097,298x = 71,087,216,229,859,600
  5. Step 5: Solve for x
    x = 71,087,216,229,859,600/123,097,298
  6. Step 6: Final answer
    x = 577,488,030.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.