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Finding the Third Proportional to 174,365,748 and 379,375,497

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Solution

The third proportional to 174,365,748 and 379,375,497 is: 825,424,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,365,748 : 379,375,497 = 379,375,497 : x
  2. Step 2: Convert to fraction form
    174,365,748/379,375,497 = 379,375,497/x
  3. Step 3: Cross multiply
    174,365,748x = 379,375,497 × 379,375,497
  4. Step 4: Simplify right side
    174,365,748x = 143,925,767,723,997,008
  5. Step 5: Solve for x
    x = 143,925,767,723,997,008/174,365,748
  6. Step 6: Final answer
    x = 825,424,542.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.