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Finding the Third Proportional to 81,824,346 and 176,401,320

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Solution

The third proportional to 81,824,346 and 176,401,320 is: 380,295,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,824,346 : 176,401,320 = 176,401,320 : x
  2. Step 2: Convert to fraction form
    81,824,346/176,401,320 = 176,401,320/x
  3. Step 3: Cross multiply
    81,824,346x = 176,401,320 × 176,401,320
  4. Step 4: Simplify right side
    81,824,346x = 31,117,425,697,742,400
  5. Step 5: Solve for x
    x = 31,117,425,697,742,400/81,824,346
  6. Step 6: Final answer
    x = 380,295,440.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.