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Finding the Third Proportional to 96,741,348 and 210,488,506

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Solution

The third proportional to 96,741,348 and 210,488,506 is: 457,978,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741,348 : 210,488,506 = 210,488,506 : x
  2. Step 2: Convert to fraction form
    96,741,348/210,488,506 = 210,488,506/x
  3. Step 3: Cross multiply
    96,741,348x = 210,488,506 × 210,488,506
  4. Step 4: Simplify right side
    96,741,348x = 44,305,411,158,112,032
  5. Step 5: Solve for x
    x = 44,305,411,158,112,032/96,741,348
  6. Step 6: Final answer
    x = 457,978,021.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.