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Finding the Third Proportional to 229,944,180 and 504,406,023

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Solution

The third proportional to 229,944,180 and 504,406,023 is: 1,106,466,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,944,180 : 504,406,023 = 504,406,023 : x
  2. Step 2: Convert to fraction form
    229,944,180/504,406,023 = 504,406,023/x
  3. Step 3: Cross multiply
    229,944,180x = 504,406,023 × 504,406,023
  4. Step 4: Simplify right side
    229,944,180x = 254,425,436,038,676,544
  5. Step 5: Solve for x
    x = 254,425,436,038,676,544/229,944,180
  6. Step 6: Final answer
    x = 1,106,466,082.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.