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Finding the Third Proportional to 272,526,233 and 597,814,130.50

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Solution

The third proportional to 272,526,233 and 597,814,130.50 is: 1,311,366,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526,233 : 597,814,130.50 = 597,814,130.50 : x
  2. Step 2: Convert to fraction form
    272,526,233/597,814,130.50 = 597,814,130.50/x
  3. Step 3: Cross multiply
    272,526,233x = 597,814,130.50 × 597,814,130.50
  4. Step 4: Simplify right side
    272,526,233x = 357,381,734,625,471,040
  5. Step 5: Solve for x
    x = 357,381,734,625,471,040/272,526,233
  6. Step 6: Final answer
    x = 1,311,366,361.66

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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.