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Finding the Third Proportional to 229,863,551 and 510,745,435

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Solution

The third proportional to 229,863,551 and 510,745,435 is: 1,134,851,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,551 : 510,745,435 = 510,745,435 : x
  2. Step 2: Convert to fraction form
    229,863,551/510,745,435 = 510,745,435/x
  3. Step 3: Cross multiply
    229,863,551x = 510,745,435 × 510,745,435
  4. Step 4: Simplify right side
    229,863,551x = 260,860,899,373,339,232
  5. Step 5: Solve for x
    x = 260,860,899,373,339,232/229,863,551
  6. Step 6: Final answer
    x = 1,134,851,081.17

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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.