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Finding the Third Proportional to 189,165,465 and 407,502,594

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Solution

The third proportional to 189,165,465 and 407,502,594 is: 877,847,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,165,465 : 407,502,594 = 407,502,594 : x
  2. Step 2: Convert to fraction form
    189,165,465/407,502,594 = 407,502,594/x
  3. Step 3: Cross multiply
    189,165,465x = 407,502,594 × 407,502,594
  4. Step 4: Simplify right side
    189,165,465x = 166,058,364,116,728,832
  5. Step 5: Solve for x
    x = 166,058,364,116,728,832/189,165,465
  6. Step 6: Final answer
    x = 877,847,148.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.