Home / 102,011,582.72-221,342,743.18

Finding the Third Proportional to 102,011,582.72 and 221,342,743.18

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Solution

The third proportional to 102,011,582.72 and 221,342,743.18 is: 480,265,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011,582.72 : 221,342,743.18 = 221,342,743.18 : x
  2. Step 2: Convert to fraction form
    102,011,582.72/221,342,743.18 = 221,342,743.18/x
  3. Step 3: Cross multiply
    102,011,582.72x = 221,342,743.18 × 221,342,743.18
  4. Step 4: Simplify right side
    102,011,582.72x = 48,992,609,957,438,120
  5. Step 5: Solve for x
    x = 48,992,609,957,438,120/102,011,582.72
  6. Step 6: Final answer
    x = 480,265,168.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.