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Finding the Third Proportional to 122,442,904 and 266,408,224

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Solution

The third proportional to 122,442,904 and 266,408,224 is: 579,644,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,904 : 266,408,224 = 266,408,224 : x
  2. Step 2: Convert to fraction form
    122,442,904/266,408,224 = 266,408,224/x
  3. Step 3: Cross multiply
    122,442,904x = 266,408,224 × 266,408,224
  4. Step 4: Simplify right side
    122,442,904x = 70,973,341,814,834,176
  5. Step 5: Solve for x
    x = 70,973,341,814,834,176/122,442,904
  6. Step 6: Final answer
    x = 579,644,385.23

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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.