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Finding the Third Proportional to 108,282,201.75 and 233,822,709

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Solution

The third proportional to 108,282,201.75 and 233,822,709 is: 504,912,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,282,201.75 : 233,822,709 = 233,822,709 : x
  2. Step 2: Convert to fraction form
    108,282,201.75/233,822,709 = 233,822,709/x
  3. Step 3: Cross multiply
    108,282,201.75x = 233,822,709 × 233,822,709
  4. Step 4: Simplify right side
    108,282,201.75x = 54,673,059,244,098,680
  5. Step 5: Solve for x
    x = 54,673,059,244,098,680/108,282,201.75
  6. Step 6: Final answer
    x = 504,912,703.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.