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Finding the Third Proportional to 224,359,284 and 335,642,058

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Solution

The third proportional to 224,359,284 and 335,642,058 is: 502,121,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,359,284 : 335,642,058 = 335,642,058 : x
  2. Step 2: Convert to fraction form
    224,359,284/335,642,058 = 335,642,058/x
  3. Step 3: Cross multiply
    224,359,284x = 335,642,058 × 335,642,058
  4. Step 4: Simplify right side
    224,359,284x = 112,655,591,098,475,360
  5. Step 5: Solve for x
    x = 112,655,591,098,475,360/224,359,284
  6. Step 6: Final answer
    x = 502,121,370.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.