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Finding the Third Proportional to 199,748,000 and 437,680,980

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Solution

The third proportional to 199,748,000 and 437,680,980 is: 959,031,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,748,000 : 437,680,980 = 437,680,980 : x
  2. Step 2: Convert to fraction form
    199,748,000/437,680,980 = 437,680,980/x
  3. Step 3: Cross multiply
    199,748,000x = 437,680,980 × 437,680,980
  4. Step 4: Simplify right side
    199,748,000x = 191,564,640,253,760,384
  5. Step 5: Solve for x
    x = 191,564,640,253,760,384/199,748,000
  6. Step 6: Final answer
    x = 959,031,581.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.