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Finding the Third Proportional to 68,513,896.50 and 161,685,833.25

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Solution

The third proportional to 68,513,896.50 and 161,685,833.25 is: 381,562,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,513,896.50 : 161,685,833.25 = 161,685,833.25 : x
  2. Step 2: Convert to fraction form
    68,513,896.50/161,685,833.25 = 161,685,833.25/x
  3. Step 3: Cross multiply
    68,513,896.50x = 161,685,833.25 × 161,685,833.25
  4. Step 4: Simplify right side
    68,513,896.50x = 26,142,308,673,746,804
  5. Step 5: Solve for x
    x = 26,142,308,673,746,804/68,513,896.50
  6. Step 6: Final answer
    x = 381,562,135.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.