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Finding the Third Proportional to 270,109,192.50 and 581,168,862

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Solution

The third proportional to 270,109,192.50 and 581,168,862 is: 1,250,447,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,109,192.50 : 581,168,862 = 581,168,862 : x
  2. Step 2: Convert to fraction form
    270,109,192.50/581,168,862 = 581,168,862/x
  3. Step 3: Cross multiply
    270,109,192.50x = 581,168,862 × 581,168,862
  4. Step 4: Simplify right side
    270,109,192.50x = 337,757,246,158,375,040
  5. Step 5: Solve for x
    x = 337,757,246,158,375,040/270,109,192.50
  6. Step 6: Final answer
    x = 1,250,447,061.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.