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Finding the Third Proportional to 115,563,426.47 and 256,043,890.69

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Solution

The third proportional to 115,563,426.47 and 256,043,890.69 is: 567,294,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563,426.47 : 256,043,890.69 = 256,043,890.69 : x
  2. Step 2: Convert to fraction form
    115,563,426.47/256,043,890.69 = 256,043,890.69/x
  3. Step 3: Cross multiply
    115,563,426.47x = 256,043,890.69 × 256,043,890.69
  4. Step 4: Simplify right side
    115,563,426.47x = 65,558,473,958,392,448
  5. Step 5: Solve for x
    x = 65,558,473,958,392,448/115,563,426.47
  6. Step 6: Final answer
    x = 567,294,307.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.