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Finding the Third Proportional to 215,988,498 and 466,453,003.50

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Solution

The third proportional to 215,988,498 and 466,453,003.50 is: 1,007,361,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,988,498 : 466,453,003.50 = 466,453,003.50 : x
  2. Step 2: Convert to fraction form
    215,988,498/466,453,003.50 = 466,453,003.50/x
  3. Step 3: Cross multiply
    215,988,498x = 466,453,003.50 × 466,453,003.50
  4. Step 4: Simplify right side
    215,988,498x = 217,578,404,474,171,008
  5. Step 5: Solve for x
    x = 217,578,404,474,171,008/215,988,498
  6. Step 6: Final answer
    x = 1,007,361,070.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.