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Finding the Third Proportional to 218,862,853 and 341,544,585

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Solution

The third proportional to 218,862,853 and 341,544,585 is: 532,994,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862,853 : 341,544,585 = 341,544,585 : x
  2. Step 2: Convert to fraction form
    218,862,853/341,544,585 = 341,544,585/x
  3. Step 3: Cross multiply
    218,862,853x = 341,544,585 × 341,544,585
  4. Step 4: Simplify right side
    218,862,853x = 116,652,703,542,822,224
  5. Step 5: Solve for x
    x = 116,652,703,542,822,224/218,862,853
  6. Step 6: Final answer
    x = 532,994,530.34

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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.