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Finding the Third Proportional to 229,194,883.13 and 497,148,593.63

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Solution

The third proportional to 229,194,883.13 and 497,148,593.63 is: 1,078,369,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194,883.13 : 497,148,593.63 = 497,148,593.63 : x
  2. Step 2: Convert to fraction form
    229,194,883.13/497,148,593.63 = 497,148,593.63/x
  3. Step 3: Cross multiply
    229,194,883.13x = 497,148,593.63 × 497,148,593.63
  4. Step 4: Simplify right side
    229,194,883.13x = 247,156,724,143,315,392
  5. Step 5: Solve for x
    x = 247,156,724,143,315,392/229,194,883.13
  6. Step 6: Final answer
    x = 1,078,369,293.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.