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Finding the Third Proportional to 175,885,356.66 and 380,722,705.31

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Solution

The third proportional to 175,885,356.66 and 380,722,705.31 is: 824,115,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,885,356.66 : 380,722,705.31 = 380,722,705.31 : x
  2. Step 2: Convert to fraction form
    175,885,356.66/380,722,705.31 = 380,722,705.31/x
  3. Step 3: Cross multiply
    175,885,356.66x = 380,722,705.31 × 380,722,705.31
  4. Step 4: Simplify right side
    175,885,356.66x = 144,949,778,340,468,704
  5. Step 5: Solve for x
    x = 144,949,778,340,468,704/175,885,356.66
  6. Step 6: Final answer
    x = 824,115,100.29

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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.