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Finding the Third Proportional to 176,890,996 and 382,756,664

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Solution

The third proportional to 176,890,996 and 382,756,664 is: 828,208,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890,996 : 382,756,664 = 382,756,664 : x
  2. Step 2: Convert to fraction form
    176,890,996/382,756,664 = 382,756,664/x
  3. Step 3: Cross multiply
    176,890,996x = 382,756,664 × 382,756,664
  4. Step 4: Simplify right side
    176,890,996x = 146,502,663,836,408,896
  5. Step 5: Solve for x
    x = 146,502,663,836,408,896/176,890,996
  6. Step 6: Final answer
    x = 828,208,711.29

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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.