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Finding the Third Proportional to 229,863,522 and 510,745,374

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Solution

The third proportional to 229,863,522 and 510,745,374 is: 1,134,850,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,522 : 510,745,374 = 510,745,374 : x
  2. Step 2: Convert to fraction form
    229,863,522/510,745,374 = 510,745,374/x
  3. Step 3: Cross multiply
    229,863,522x = 510,745,374 × 510,745,374
  4. Step 4: Simplify right side
    229,863,522x = 260,860,837,062,399,872
  5. Step 5: Solve for x
    x = 260,860,837,062,399,872/229,863,522
  6. Step 6: Final answer
    x = 1,134,850,953.26

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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.