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Finding the Third Proportional to 124,241,465.25 and 270,299,345.63

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Solution

The third proportional to 124,241,465.25 and 270,299,345.63 is: 588,062,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,241,465.25 : 270,299,345.63 = 270,299,345.63 : x
  2. Step 2: Convert to fraction form
    124,241,465.25/270,299,345.63 = 270,299,345.63/x
  3. Step 3: Cross multiply
    124,241,465.25x = 270,299,345.63 × 270,299,345.63
  4. Step 4: Simplify right side
    124,241,465.25x = 73,061,736,245,303,200
  5. Step 5: Solve for x
    x = 73,061,736,245,303,200/124,241,465.25
  6. Step 6: Final answer
    x = 588,062,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.