Home / 102,197,416.50-224,180,348.63

Finding the Third Proportional to 102,197,416.50 and 224,180,348.63

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Solution

The third proportional to 102,197,416.50 and 224,180,348.63 is: 491,762,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,416.50 : 224,180,348.63 = 224,180,348.63 : x
  2. Step 2: Convert to fraction form
    102,197,416.50/224,180,348.63 = 224,180,348.63/x
  3. Step 3: Cross multiply
    102,197,416.50x = 224,180,348.63 × 224,180,348.63
  4. Step 4: Simplify right side
    102,197,416.50x = 50,256,828,709,626,536
  5. Step 5: Solve for x
    x = 50,256,828,709,626,536/102,197,416.50
  6. Step 6: Final answer
    x = 491,762,222.87

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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.