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Finding the Third Proportional to 267,781,392 and 405,713,938.50

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Solution

The third proportional to 267,781,392 and 405,713,938.50 is: 614,694,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,781,392 : 405,713,938.50 = 405,713,938.50 : x
  2. Step 2: Convert to fraction form
    267,781,392/405,713,938.50 = 405,713,938.50/x
  3. Step 3: Cross multiply
    267,781,392x = 405,713,938.50 × 405,713,938.50
  4. Step 4: Simplify right side
    267,781,392x = 164,603,799,893,181,792
  5. Step 5: Solve for x
    x = 164,603,799,893,181,792/267,781,392
  6. Step 6: Final answer
    x = 614,694,690.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.