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Finding the Third Proportional to 296,873,734.50 and 452,989,131.75

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Solution

The third proportional to 296,873,734.50 and 452,989,131.75 is: 691,200,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,873,734.50 : 452,989,131.75 = 452,989,131.75 : x
  2. Step 2: Convert to fraction form
    296,873,734.50/452,989,131.75 = 452,989,131.75/x
  3. Step 3: Cross multiply
    296,873,734.50x = 452,989,131.75 × 452,989,131.75
  4. Step 4: Simplify right side
    296,873,734.50x = 205,199,153,483,618,848
  5. Step 5: Solve for x
    x = 205,199,153,483,618,848/296,873,734.50
  6. Step 6: Final answer
    x = 691,200,094.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.