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Finding the Third Proportional to 114,903,268.75 and 171,947,797

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Solution

The third proportional to 114,903,268.75 and 171,947,797 is: 257,312,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,903,268.75 : 171,947,797 = 171,947,797 : x
  2. Step 2: Convert to fraction form
    114,903,268.75/171,947,797 = 171,947,797/x
  3. Step 3: Cross multiply
    114,903,268.75x = 171,947,797 × 171,947,797
  4. Step 4: Simplify right side
    114,903,268.75x = 29,566,044,893,153,208
  5. Step 5: Solve for x
    x = 29,566,044,893,153,208/114,903,268.75
  6. Step 6: Final answer
    x = 257,312,478.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.