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Finding the Third Proportional to 89,769,506 and 193,887,892

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Solution

The third proportional to 89,769,506 and 193,887,892 is: 418,767,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769,506 : 193,887,892 = 193,887,892 : x
  2. Step 2: Convert to fraction form
    89,769,506/193,887,892 = 193,887,892/x
  3. Step 3: Cross multiply
    89,769,506x = 193,887,892 × 193,887,892
  4. Step 4: Simplify right side
    89,769,506x = 37,592,514,664,203,664
  5. Step 5: Solve for x
    x = 37,592,514,664,203,664/89,769,506
  6. Step 6: Final answer
    x = 418,767,088.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.