Home / 102,472,742.25-223,139,923.88

Finding the Third Proportional to 102,472,742.25 and 223,139,923.88

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Solution

The third proportional to 102,472,742.25 and 223,139,923.88 is: 485,899,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,742.25 : 223,139,923.88 = 223,139,923.88 : x
  2. Step 2: Convert to fraction form
    102,472,742.25/223,139,923.88 = 223,139,923.88/x
  3. Step 3: Cross multiply
    102,472,742.25x = 223,139,923.88 × 223,139,923.88
  4. Step 4: Simplify right side
    102,472,742.25x = 49,791,425,626,940,792
  5. Step 5: Solve for x
    x = 49,791,425,626,940,792/102,472,742.25
  6. Step 6: Final answer
    x = 485,899,220.94

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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.