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Finding the Third Proportional to 233,481,910 and 358,135,433

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Solution

The third proportional to 233,481,910 and 358,135,433 is: 549,340,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,481,910 : 358,135,433 = 358,135,433 : x
  2. Step 2: Convert to fraction form
    233,481,910/358,135,433 = 358,135,433/x
  3. Step 3: Cross multiply
    233,481,910x = 358,135,433 × 358,135,433
  4. Step 4: Simplify right side
    233,481,910x = 128,260,988,370,097,488
  5. Step 5: Solve for x
    x = 128,260,988,370,097,488/233,481,910
  6. Step 6: Final answer
    x = 549,340,153.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.