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Finding the Third Proportional to 178,128,894 and 392,492,004

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Solution

The third proportional to 178,128,894 and 392,492,004 is: 864,823,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128,894 : 392,492,004 = 392,492,004 : x
  2. Step 2: Convert to fraction form
    178,128,894/392,492,004 = 392,492,004/x
  3. Step 3: Cross multiply
    178,128,894x = 392,492,004 × 392,492,004
  4. Step 4: Simplify right side
    178,128,894x = 154,049,973,203,936,000
  5. Step 5: Solve for x
    x = 154,049,973,203,936,000/178,128,894
  6. Step 6: Final answer
    x = 864,823,048.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.