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Finding the Third Proportional to 176,890,624 and 382,755,920

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Solution

The third proportional to 176,890,624 and 382,755,920 is: 828,207,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890,624 : 382,755,920 = 382,755,920 : x
  2. Step 2: Convert to fraction form
    176,890,624/382,755,920 = 382,755,920/x
  3. Step 3: Cross multiply
    176,890,624x = 382,755,920 × 382,755,920
  4. Step 4: Simplify right side
    176,890,624x = 146,502,094,295,046,400
  5. Step 5: Solve for x
    x = 146,502,094,295,046,400/176,890,624
  6. Step 6: Final answer
    x = 828,207,233.27

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