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Finding the Third Proportional to 252,156,498 and 552,142,308

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Solution

The third proportional to 252,156,498 and 552,142,308 is: 1,209,015,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,156,498 : 552,142,308 = 552,142,308 : x
  2. Step 2: Convert to fraction form
    252,156,498/552,142,308 = 552,142,308/x
  3. Step 3: Cross multiply
    252,156,498x = 552,142,308 × 552,142,308
  4. Step 4: Simplify right side
    252,156,498x = 304,861,128,283,566,848
  5. Step 5: Solve for x
    x = 304,861,128,283,566,848/252,156,498
  6. Step 6: Final answer
    x = 1,209,015,554.63

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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.