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Finding the Third Proportional to 141,057,334.50 and 217,874,680.50

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Solution

The third proportional to 141,057,334.50 and 217,874,680.50 is: 336,525,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057,334.50 : 217,874,680.50 = 217,874,680.50 : x
  2. Step 2: Convert to fraction form
    141,057,334.50/217,874,680.50 = 217,874,680.50/x
  3. Step 3: Cross multiply
    141,057,334.50x = 217,874,680.50 × 217,874,680.50
  4. Step 4: Simplify right side
    141,057,334.50x = 47,469,376,402,977,080
  5. Step 5: Solve for x
    x = 47,469,376,402,977,080/141,057,334.50
  6. Step 6: Final answer
    x = 336,525,403.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.