Home / 102,199,056.75-224,182,500.19

Finding the Third Proportional to 102,199,056.75 and 224,182,500.19

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Solution

The third proportional to 102,199,056.75 and 224,182,500.19 is: 491,763,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199,056.75 : 224,182,500.19 = 224,182,500.19 : x
  2. Step 2: Convert to fraction form
    102,199,056.75/224,182,500.19 = 224,182,500.19/x
  3. Step 3: Cross multiply
    102,199,056.75x = 224,182,500.19 × 224,182,500.19
  4. Step 4: Simplify right side
    102,199,056.75x = 50,257,793,390,318,440
  5. Step 5: Solve for x
    x = 50,257,793,390,318,440/102,199,056.75
  6. Step 6: Final answer
    x = 491,763,769.54

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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.