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Finding the Third Proportional to 229,863,534 and 510,745,398

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Solution

The third proportional to 229,863,534 and 510,745,398 is: 1,134,851,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,534 : 510,745,398 = 510,745,398 : x
  2. Step 2: Convert to fraction form
    229,863,534/510,745,398 = 510,745,398/x
  3. Step 3: Cross multiply
    229,863,534x = 510,745,398 × 510,745,398
  4. Step 4: Simplify right side
    229,863,534x = 260,860,861,578,178,400
  5. Step 5: Solve for x
    x = 260,860,861,578,178,400/229,863,534
  6. Step 6: Final answer
    x = 1,134,851,000.67

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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.