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Finding the Third Proportional to 172,274,664 and 264,798,090

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Solution

The third proportional to 172,274,664 and 264,798,090 is: 407,013,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,274,664 : 264,798,090 = 264,798,090 : x
  2. Step 2: Convert to fraction form
    172,274,664/264,798,090 = 264,798,090/x
  3. Step 3: Cross multiply
    172,274,664x = 264,798,090 × 264,798,090
  4. Step 4: Simplify right side
    172,274,664x = 70,118,028,467,648,096
  5. Step 5: Solve for x
    x = 70,118,028,467,648,096/172,274,664
  6. Step 6: Final answer
    x = 407,013,003.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.