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Finding the Third Proportional to 189,766,241 and 286,671,243

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Solution

The third proportional to 189,766,241 and 286,671,243 is: 433,061,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,766,241 : 286,671,243 = 286,671,243 : x
  2. Step 2: Convert to fraction form
    189,766,241/286,671,243 = 286,671,243/x
  3. Step 3: Cross multiply
    189,766,241x = 286,671,243 × 286,671,243
  4. Step 4: Simplify right side
    189,766,241x = 82,180,401,563,165,056
  5. Step 5: Solve for x
    x = 82,180,401,563,165,056/189,766,241
  6. Step 6: Final answer
    x = 433,061,229.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.