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Finding the Third Proportional to 115,563,432 and 256,043,902.50

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Solution

The third proportional to 115,563,432 and 256,043,902.50 is: 567,294,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563,432 : 256,043,902.50 = 256,043,902.50 : x
  2. Step 2: Convert to fraction form
    115,563,432/256,043,902.50 = 256,043,902.50/x
  3. Step 3: Cross multiply
    115,563,432x = 256,043,902.50 × 256,043,902.50
  4. Step 4: Simplify right side
    115,563,432x = 65,558,480,007,429,504
  5. Step 5: Solve for x
    x = 65,558,480,007,429,504/115,563,432
  6. Step 6: Final answer
    x = 567,294,332.41

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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.