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Finding the Third Proportional to 161,518,700 and 355,335,016

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Solution

The third proportional to 161,518,700 and 355,335,016 is: 781,723,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,518,700 : 355,335,016 = 355,335,016 : x
  2. Step 2: Convert to fraction form
    161,518,700/355,335,016 = 355,335,016/x
  3. Step 3: Cross multiply
    161,518,700x = 355,335,016 × 355,335,016
  4. Step 4: Simplify right side
    161,518,700x = 126,262,973,595,720,256
  5. Step 5: Solve for x
    x = 126,262,973,595,720,256/161,518,700
  6. Step 6: Final answer
    x = 781,723,562.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.