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Finding the Third Proportional to 283,216,215 and 437,402,003

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Solution

The third proportional to 283,216,215 and 437,402,003 is: 675,528,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,215 : 437,402,003 = 437,402,003 : x
  2. Step 2: Convert to fraction form
    283,216,215/437,402,003 = 437,402,003/x
  3. Step 3: Cross multiply
    283,216,215x = 437,402,003 × 437,402,003
  4. Step 4: Simplify right side
    283,216,215x = 191,320,512,228,412,000
  5. Step 5: Solve for x
    x = 191,320,512,228,412,000/283,216,215
  6. Step 6: Final answer
    x = 675,528,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.