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Finding the Third Proportional to 176,890,464 and 382,755,600

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Solution

The third proportional to 176,890,464 and 382,755,600 is: 828,206,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890,464 : 382,755,600 = 382,755,600 : x
  2. Step 2: Convert to fraction form
    176,890,464/382,755,600 = 382,755,600/x
  3. Step 3: Cross multiply
    176,890,464x = 382,755,600 × 382,755,600
  4. Step 4: Simplify right side
    176,890,464x = 146,501,849,331,360,000
  5. Step 5: Solve for x
    x = 146,501,849,331,360,000/176,890,464
  6. Step 6: Final answer
    x = 828,206,597.57

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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.