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Finding the Third Proportional to 251,931,503 and 552,290,566

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Solution

The third proportional to 251,931,503 and 552,290,566 is: 1,210,745,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,931,503 : 552,290,566 = 552,290,566 : x
  2. Step 2: Convert to fraction form
    251,931,503/552,290,566 = 552,290,566/x
  3. Step 3: Cross multiply
    251,931,503x = 552,290,566 × 552,290,566
  4. Step 4: Simplify right side
    251,931,503x = 305,024,869,292,600,384
  5. Step 5: Solve for x
    x = 305,024,869,292,600,384/251,931,503
  6. Step 6: Final answer
    x = 1,210,745,244.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.