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Finding the Third Proportional to 175,460,289.75 and 380,178,684

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Solution

The third proportional to 175,460,289.75 and 380,178,684 is: 823,752,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,460,289.75 : 380,178,684 = 380,178,684 : x
  2. Step 2: Convert to fraction form
    175,460,289.75/380,178,684 = 380,178,684/x
  3. Step 3: Cross multiply
    175,460,289.75x = 380,178,684 × 380,178,684
  4. Step 4: Simplify right side
    175,460,289.75x = 144,535,831,767,971,840
  5. Step 5: Solve for x
    x = 144,535,831,767,971,840/175,460,289.75
  6. Step 6: Final answer
    x = 823,752,382.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.