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Finding the Third Proportional to 40,003,873.50 and 87,276,265.50

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Solution

The third proportional to 40,003,873.50 and 87,276,265.50 is: 190,410,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,003,873.50 : 87,276,265.50 = 87,276,265.50 : x
  2. Step 2: Convert to fraction form
    40,003,873.50/87,276,265.50 = 87,276,265.50/x
  3. Step 3: Cross multiply
    40,003,873.50x = 87,276,265.50 × 87,276,265.50
  4. Step 4: Simplify right side
    40,003,873.50x = 7,617,146,519,626,490
  5. Step 5: Solve for x
    x = 7,617,146,519,626,490/40,003,873.50
  6. Step 6: Final answer
    x = 190,410,224.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.