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Finding the Third Proportional to 189,134,109 and 410,551,497

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Solution

The third proportional to 189,134,109 and 410,551,497 is: 891,179,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,134,109 : 410,551,497 = 410,551,497 : x
  2. Step 2: Convert to fraction form
    189,134,109/410,551,497 = 410,551,497/x
  3. Step 3: Cross multiply
    189,134,109x = 410,551,497 × 410,551,497
  4. Step 4: Simplify right side
    189,134,109x = 168,552,531,688,941,024
  5. Step 5: Solve for x
    x = 168,552,531,688,941,024/189,134,109
  6. Step 6: Final answer
    x = 891,179,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.