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Finding the Third Proportional to 175,460,220 and 380,178,526

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Solution

The third proportional to 175,460,220 and 380,178,526 is: 823,752,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,460,220 : 380,178,526 = 380,178,526 : x
  2. Step 2: Convert to fraction form
    175,460,220/380,178,526 = 380,178,526/x
  3. Step 3: Cross multiply
    175,460,220x = 380,178,526 × 380,178,526
  4. Step 4: Simplify right side
    175,460,220x = 144,535,711,631,532,672
  5. Step 5: Solve for x
    x = 144,535,711,631,532,672/175,460,220
  6. Step 6: Final answer
    x = 823,752,025.57

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Why These Related Problems?

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