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Finding the Third Proportional to 143,477,024 and 228,411,264

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Solution

The third proportional to 143,477,024 and 228,411,264 is: 363,624,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,477,024 : 228,411,264 = 228,411,264 : x
  2. Step 2: Convert to fraction form
    143,477,024/228,411,264 = 228,411,264/x
  3. Step 3: Cross multiply
    143,477,024x = 228,411,264 × 228,411,264
  4. Step 4: Simplify right side
    143,477,024x = 52,171,705,522,077,696
  5. Step 5: Solve for x
    x = 52,171,705,522,077,696/143,477,024
  6. Step 6: Final answer
    x = 363,624,112.54

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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.