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Finding the Third Proportional to 114,903,409 and 171,948,000

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Solution

The third proportional to 114,903,409 and 171,948,000 is: 257,312,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,903,409 : 171,948,000 = 171,948,000 : x
  2. Step 2: Convert to fraction form
    114,903,409/171,948,000 = 171,948,000/x
  3. Step 3: Cross multiply
    114,903,409x = 171,948,000 × 171,948,000
  4. Step 4: Simplify right side
    114,903,409x = 29,566,114,704,000,000
  5. Step 5: Solve for x
    x = 29,566,114,704,000,000/114,903,409
  6. Step 6: Final answer
    x = 257,312,772.19

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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.