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Finding the Third Proportional to 218,862,857.25 and 341,544,592.13

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Solution

The third proportional to 218,862,857.25 and 341,544,592.13 is: 532,994,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862,857.25 : 341,544,592.13 = 341,544,592.13 : x
  2. Step 2: Convert to fraction form
    218,862,857.25/341,544,592.13 = 341,544,592.13/x
  3. Step 3: Cross multiply
    218,862,857.25x = 341,544,592.13 × 341,544,592.13
  4. Step 4: Simplify right side
    218,862,857.25x = 116,652,708,409,832,608
  5. Step 5: Solve for x
    x = 116,652,708,409,832,608/218,862,857.25
  6. Step 6: Final answer
    x = 532,994,542.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.