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Finding the Third Proportional to 290,921,020.88 and 646,412,113.13

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Solution

The third proportional to 290,921,020.88 and 646,412,113.13 is: 1,436,295,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,020.88 : 646,412,113.13 = 646,412,113.13 : x
  2. Step 2: Convert to fraction form
    290,921,020.88/646,412,113.13 = 646,412,113.13/x
  3. Step 3: Cross multiply
    290,921,020.88x = 646,412,113.13 × 646,412,113.13
  4. Step 4: Simplify right side
    290,921,020.88x = 417,848,619,994,727,808
  5. Step 5: Solve for x
    x = 417,848,619,994,727,808/290,921,020.88
  6. Step 6: Final answer
    x = 1,436,295,729.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.