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Finding the Third Proportional to 145,973,490 and 204,079,884

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Solution

The third proportional to 145,973,490 and 204,079,884 is: 285,316,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973,490 : 204,079,884 = 204,079,884 : x
  2. Step 2: Convert to fraction form
    145,973,490/204,079,884 = 204,079,884/x
  3. Step 3: Cross multiply
    145,973,490x = 204,079,884 × 204,079,884
  4. Step 4: Simplify right side
    145,973,490x = 41,648,599,053,453,456
  5. Step 5: Solve for x
    x = 41,648,599,053,453,456/145,973,490
  6. Step 6: Final answer
    x = 285,316,183.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.