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Finding the Third Proportional to 190,107,346 and 407,498,988

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Solution

The third proportional to 190,107,346 and 407,498,988 is: 873,482,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,107,346 : 407,498,988 = 407,498,988 : x
  2. Step 2: Convert to fraction form
    190,107,346/407,498,988 = 407,498,988/x
  3. Step 3: Cross multiply
    190,107,346x = 407,498,988 × 407,498,988
  4. Step 4: Simplify right side
    190,107,346x = 166,055,425,221,024,128
  5. Step 5: Solve for x
    x = 166,055,425,221,024,128/190,107,346
  6. Step 6: Final answer
    x = 873,482,423.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.