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Finding the Third Proportional to 218,157,092 and 329,497,935

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Solution

The third proportional to 218,157,092 and 329,497,935 is: 497,663,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157,092 : 329,497,935 = 329,497,935 : x
  2. Step 2: Convert to fraction form
    218,157,092/329,497,935 = 329,497,935/x
  3. Step 3: Cross multiply
    218,157,092x = 329,497,935 × 329,497,935
  4. Step 4: Simplify right side
    218,157,092x = 108,568,889,169,264,224
  5. Step 5: Solve for x
    x = 108,568,889,169,264,224/218,157,092
  6. Step 6: Final answer
    x = 497,663,808.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.