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Finding the Third Proportional to 175,460,248.50 and 380,178,588

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Solution

The third proportional to 175,460,248.50 and 380,178,588 is: 823,752,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,460,248.50 : 380,178,588 = 380,178,588 : x
  2. Step 2: Convert to fraction form
    175,460,248.50/380,178,588 = 380,178,588/x
  3. Step 3: Cross multiply
    175,460,248.50x = 380,178,588 × 380,178,588
  4. Step 4: Simplify right side
    175,460,248.50x = 144,535,758,773,673,728
  5. Step 5: Solve for x
    x = 144,535,758,773,673,728/175,460,248.50
  6. Step 6: Final answer
    x = 823,752,160.44

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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.