Home / 102,199,360.50-224,183,107.69

Finding the Third Proportional to 102,199,360.50 and 224,183,107.69

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Solution

The third proportional to 102,199,360.50 and 224,183,107.69 is: 491,764,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199,360.50 : 224,183,107.69 = 224,183,107.69 : x
  2. Step 2: Convert to fraction form
    102,199,360.50/224,183,107.69 = 224,183,107.69/x
  3. Step 3: Cross multiply
    102,199,360.50x = 224,183,107.69 × 224,183,107.69
  4. Step 4: Simplify right side
    102,199,360.50x = 50,258,065,772,425,224
  5. Step 5: Solve for x
    x = 50,258,065,772,425,224/102,199,360.50
  6. Step 6: Final answer
    x = 491,764,973.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.