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Finding the Third Proportional to 229,863,549 and 510,745,431

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Solution

The third proportional to 229,863,549 and 510,745,431 is: 1,134,851,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,549 : 510,745,431 = 510,745,431 : x
  2. Step 2: Convert to fraction form
    229,863,549/510,745,431 = 510,745,431/x
  3. Step 3: Cross multiply
    229,863,549x = 510,745,431 × 510,745,431
  4. Step 4: Simplify right side
    229,863,549x = 260,860,895,287,375,776
  5. Step 5: Solve for x
    x = 260,860,895,287,375,776/229,863,549
  6. Step 6: Final answer
    x = 1,134,851,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.