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Finding the Third Proportional to 149,938,002 and 228,892,770

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Solution

The third proportional to 149,938,002 and 228,892,770 is: 349,423,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,938,002 : 228,892,770 = 228,892,770 : x
  2. Step 2: Convert to fraction form
    149,938,002/228,892,770 = 228,892,770/x
  3. Step 3: Cross multiply
    149,938,002x = 228,892,770 × 228,892,770
  4. Step 4: Simplify right side
    149,938,002x = 52,391,900,158,272,896
  5. Step 5: Solve for x
    x = 52,391,900,158,272,896/149,938,002
  6. Step 6: Final answer
    x = 349,423,758.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.