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Finding the Third Proportional to 189,100,528 and 414,073,328

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Solution

The third proportional to 189,100,528 and 414,073,328 is: 906,696,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100,528 : 414,073,328 = 414,073,328 : x
  2. Step 2: Convert to fraction form
    189,100,528/414,073,328 = 414,073,328/x
  3. Step 3: Cross multiply
    189,100,528x = 414,073,328 × 414,073,328
  4. Step 4: Simplify right side
    189,100,528x = 171,456,720,960,995,584
  5. Step 5: Solve for x
    x = 171,456,720,960,995,584/189,100,528
  6. Step 6: Final answer
    x = 906,696,151.38

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