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Finding the Third Proportional to 283,217,293.13 and 437,403,381.75

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Solution

The third proportional to 283,217,293.13 and 437,403,381.75 is: 675,529,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,217,293.13 : 437,403,381.75 = 437,403,381.75 : x
  2. Step 2: Convert to fraction form
    283,217,293.13/437,403,381.75 = 437,403,381.75/x
  3. Step 3: Cross multiply
    283,217,293.13x = 437,403,381.75 × 437,403,381.75
  4. Step 4: Simplify right side
    283,217,293.13x = 191,321,718,366,336,224
  5. Step 5: Solve for x
    x = 191,321,718,366,336,224/283,217,293.13
  6. Step 6: Final answer
    x = 675,529,789.35

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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.