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Finding the Third Proportional to 214,719,574,154 and 320,217,337,551

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Solution

The third proportional to 214,719,574,154 and 320,217,337,551 is: 477,549,118,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,719,574,154 : 320,217,337,551 = 320,217,337,551 : x
  2. Step 2: Convert to fraction form
    214,719,574,154/320,217,337,551 = 320,217,337,551/x
  3. Step 3: Cross multiply
    214,719,574,154x = 320,217,337,551 × 320,217,337,551
  4. Step 4: Simplify right side
    214,719,574,154x = 102,539,143,268,251,071,414,272
  5. Step 5: Solve for x
    x = 102,539,143,268,251,071,414,272/214,719,574,154
  6. Step 6: Final answer
    x = 477,549,118,063.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.