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Finding the Third Proportional to 144,005,267 and 228,762,485

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Solution

The third proportional to 144,005,267 and 228,762,485 is: 363,405,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005,267 : 228,762,485 = 228,762,485 : x
  2. Step 2: Convert to fraction form
    144,005,267/228,762,485 = 228,762,485/x
  3. Step 3: Cross multiply
    144,005,267x = 228,762,485 × 228,762,485
  4. Step 4: Simplify right side
    144,005,267x = 52,332,274,543,375,224
  5. Step 5: Solve for x
    x = 52,332,274,543,375,224/144,005,267
  6. Step 6: Final answer
    x = 363,405,281.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.